10135972 has 24 divisors (see below), whose sum is σ = 22115520. Its totient is φ = 3948960.

The previous prime is 10135969. The next prime is 10135999. The reversal of 10135972 is 27953101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10135972.

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 7 ways as a sum of consecutive naturals, for example, 16147 + ... + 16762.

It is an arithmetic number, because the mean of its divisors is an integer number (921480).

Almost surely, 2^10135972 is an apocalyptic number.

It is an amenable number.

10135972 is an abundant number, since it is smaller than the sum of its proper divisors (11979548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135972 is a wasteful number, since it uses less digits than its factorization.

10135972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32931 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 10135972 is about 3183.7041319821. The cubic root of 10135972 is about 216.4155523346.

The spelling of 10135972 in words is "ten million, one hundred thirty-five thousand, nine hundred seventy-two".