10107713 has 16 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 7814400.

The previous prime is 10107667. The next prime is 10107731. The reversal of 10107713 is 31770101.

It is not a de Polignac number, because 10107713 - 2²² = 5913409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10107743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11033 + ... + 11913.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^10107713 is an apocalyptic number.

It is an amenable number.

10107713 is a deficient number, since it is larger than the sum of its proper divisors (2593087).

10107713 is a wasteful number, since it uses less digits than its factorization.

10107713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048.

The product of its (nonzero) digits is 147, while the sum is 20.

The square root of 10107713 is about 3179.2629649024. The cubic root of 10107713 is about 216.2142435897.

Adding to 10107713 its reverse (31770101), we get a palindrome (41877814).

The spelling of 10107713 in words is "ten million, one hundred seven thousand, seven hundred thirteen".