10537875 has 96 divisors (see below), whose sum is σ = 21902400. Its totient is φ = 4838400.

The previous prime is 10537871. The next prime is 10537907. The reversal of 10537875 is 57873501.

It is not a de Polignac number, because 10537875 - 2² = 10537871 is a prime.

It is a super-2 number, since 2×10537875² = 222093619031250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10537871) 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 95 ways as a sum of consecutive naturals, for example, 363361 + ... + 363389.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 2^10537875 is an apocalyptic number.

10537875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10537875 is an abundant number, since it is smaller than the sum of its proper divisors (11364525).

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

10537875 is a wasteful number, since it uses less digits than its factorization.

10537875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 10537875 is about 3246.2093278161. The cubic root of 10537875 is about 219.2389335691.

The spelling of 10537875 in words is "ten million, five hundred thirty-seven thousand, eight hundred seventy-five".