10106313 has 16 divisors (see below), whose sum is σ = 16306560. Its totient is φ = 5435136.

The previous prime is 10106311. The next prime is 10106321. The reversal of 10106313 is 31360101.

10106313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106313 - 2¹ = 10106311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106292 and 10106301.

It is not an unprimeable number, because it can be changed into a prime (10106311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13798 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (1019160).

Almost surely, 2^10106313 is an apocalyptic number.

It is an amenable number.

10106313 is a deficient number, since it is larger than the sum of its proper divisors (6200247).

10106313 is a wasteful number, since it uses less digits than its factorization.

10106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28336.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10106313 is about 3179.0427804608. The cubic root of 10106313 is about 216.2042606550.

Adding to 10106313 its reverse (31360101), we get a palindrome (41466414).

The spelling of 10106313 in words is "ten million, one hundred six thousand, three hundred thirteen".