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10106321 is a prime number
BaseRepresentation
bin100110100011…
…010111010001
3201000110021012
4212203113101
510041400241
61000340305
7151621331
oct46432721
921013235
1010106321
115783035
123474695
13212b094
1414b10c1
15d496eb
hex9a35d1

10106321 has 2 divisors, whose sum is σ = 10106322. Its totient is φ = 10106320.

The previous prime is 10106311. The next prime is 10106323. The reversal of 10106321 is 12360101.

10106321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891025 + 215296 = 3145^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106321 - 222 = 5912017 is a prime.

Together with 10106323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106296 and 10106305.

It is not a weakly prime, because it can be changed into another prime (10106323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053160 + 5053161.

It is an arithmetic number, because the mean of its divisors is an integer number (5053161).

Almost surely, 210106321 is an apocalyptic number.

It is an amenable number.

10106321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106321 is an equidigital number, since it uses as much as digits as its factorization.

10106321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10106321 is about 3179.0440387009. The cubic root of 10106321 is about 216.2043177029.

Adding to 10106321 its reverse (12360101), we get a palindrome (22466422).

The spelling of 10106321 in words is "ten million, one hundred six thousand, three hundred twenty-one".