106331 (number)
106,331 (one hundred six thousand three hundred thirtyone) is an odd sixdigits prime number following 106330 and preceding 106332. In scientific notation, it is written as 1.06331 × 10^{5}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 106,330 positive integers (up to 106331) that are relatively prime to 106331.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 14
 Digital Root 5
Name
Short name  106 thousand 331 

Full name  one hundred six thousand three hundred thirtyone 
Notation
Scientific notation  1.06331 × 10^{5} 

Engineering notation  106.331 × 10^{3} 
Prime Factorization of 106331
Prime Factorization 106331
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  106331  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.574312149284  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 106,331 is 106331. Since it has a total of 1 prime factor, 106,331 is a prime number.
Divisors of 106331
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  106332  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  53166  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  326.08434491708  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999811909867  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 106,331 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 106,331) is 106,332, the average is 53,166.
Other Arithmetic Functions (n = 106331)
φ(n)  Euler Totient  106330  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  106330  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10110  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 106,330 positive integers (less than 106,331) that are coprime with 106,331. And there are approximately 10,110 prime numbers less than or equal to 106,331.
Divisibility of 106331
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  1  5  1  3  5 
106,331 is not divisible by any number less than or equal to 9.
Classification of 106331
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (106331)
Base  System  Value 

2  Binary  11001111101011011 
3  Ternary  12101212012 
4  Quaternary  121331123 
5  Quinary  11400311 
6  Senary  2140135 
8  Octal  317533 
10  Decimal  106331 
12  Duodecimal  5164b 
16  Hexadecimal  19f5b 
20  Vigesimal  d5gb 
36  Base36  2a1n 
Basic calculations (n = 106331)
Multiplication
n×yn×2  212662 

n×3  318993 
n×4  425324 
n×5  531655 
Division
n÷yn÷2  53165.500 

n÷3  35443.666 
n÷4  26582.750 
n÷5  21266.200 
Exponentiation
n^{y}n^{2}  11306281561 

n^{3}  1202208224662691 
n^{4}  127832002736608596721 
n^{5}  13592504682986328697940651 
Nth Root
^{y}√n^{2}√n  326.08434491708 

^{3}√n  47.375444680839 
^{4}√n  18.057805650662 
^{5}√n  10.123530127454 
106331 as geometric shapes
Circle
Radius = nDiameter  212662 

Circumference  668097.37689771 
Area  35519731091.455 
Sphere
Radius = nVolume  5.0357980355807E+15 

Surface area  142078924365.82 
Circumference  668097.37689771 
Square
Length = nPerimeter  425324 

Area  11306281561 
Diagonal  150374.74230069 
Cube
Length = nSurface area  67837689366 

Volume  1202208224662691 
Space diagonal  184170.69441961 
Equilateral Triangle
Length = nPerimeter  318993 

Area  4895763527.0828 
Altitude  92085.347209803 
Triangular Pyramid
Length = nSurface area  19583054108.331 

Volume  1.4168159800954E+14 
Height  86818.897946626 
Cryptographic Hash Functions
md5  7a93b96d96c27335e514e88df35df2c6 

sha1  dee59d5c720a8901289fef2a8f239a6d3c53c212 
sha256  6baf1026be9c6d4cb0b21854b8b304101070b0f707aa27d8770fd50bd55fa985 
sha512  32c4dc2ca41ab195197b9f6b9966c0dd69ca28cd4fcedba6926f17667a0706a083580501a5d3164341dfa3c9324bd755fb2aa39f54626e8ae915df309f1afab9 
ripemd160  7912bd5cb5564a87861e3c8d8e286c83da04617d 