10157535310 has 48 divisors (see below), whose sum is σ = 20583438624. Its totient is φ = 3587386176.

The previous prime is 10157535307. The next prime is 10157535313. The reversal of 10157535310 is 1353575101.

It is an interprime number because it is at equal distance from previous prime (10157535307) and next prime (10157535313).

It is a super-2 number, since 2×10157535310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157535313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5082 + ... + 142621.

It is an arithmetic number, because the mean of its divisors is an integer number (428821638).

Almost surely, 2^10157535310 is an apocalyptic number.

10157535310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10157535310 is an abundant number, since it is smaller than the sum of its proper divisors (10425903314).

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

10157535310 is a wasteful number, since it uses less digits than its factorization.

10157535310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147769 (or 147746 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 31.

The spelling of 10157535310 in words is "ten billion, one hundred fifty-seven million, five hundred thirty-five thousand, three hundred ten".