10137875 has 32 divisors (see below), whose sum is σ = 14129856. Its totient is φ = 7200000.

The previous prime is 10137859. The next prime is 10137913. The reversal of 10137875 is 57873101.

10137875 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10137875 - 2⁴ = 10137859 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100325 + ... + 100425.

It is an arithmetic number, because the mean of its divisors is an integer number (441558).

Almost surely, 2^10137875 is an apocalyptic number.

10137875 is a deficient number, since it is larger than the sum of its proper divisors (3991981).

10137875 is a wasteful number, since it uses less digits than its factorization.

10137875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 10137875 is about 3184.0029836669. The cubic root of 10137875 is about 216.4290952892.

It can be divided in two parts, 1013 and 7875, that added together give a palindrome (8888).

The spelling of 10137875 in words is "ten million, one hundred thirty-seven thousand, eight hundred seventy-five".