10137024 has 42 divisors (see below), whose sum is σ = 29057600. Its totient is φ = 3378816.

The previous prime is 10136993. The next prime is 10137047. The reversal of 10137024 is 42073101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10136988 and 10137006.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 8224 + ... + 9375.

Almost surely, 2^10137024 is an apocalyptic number.

It is an amenable number.

10137024 is an abundant number, since it is smaller than the sum of its proper divisors (18920576).

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

10137024 is a wasteful number, since it uses less digits than its factorization.

10137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17617 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10137024 is about 3183.8693440529. The cubic root of 10137024 is about 216.4230392432.

The spelling of 10137024 in words is "ten million, one hundred thirty-seven thousand, twenty-four".