10537000 has 64 divisors (see below), whose sum is σ = 25356240. Its totient is φ = 4096000.

The previous prime is 10536997. The next prime is 10537019. The reversal of 10537000 is 73501.

It can be written as a sum of positive squares in 8 ways, for example, as 538756 + 9998244 = 734^2 + 3162^2 .

It is a super-2 number, since 2×10537000² = 222056738000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40872 + ... + 41128.

Almost surely, 2^10537000 is an apocalyptic number.

10537000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678120).

10537000 is an abundant number, since it is smaller than the sum of its proper divisors (14819240).

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

10537000 is a wasteful number, since it uses less digits than its factorization.

10537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10537000 is about 3246.0745524402. The cubic root of 10537000 is about 219.2328653192.

The spelling of 10537000 in words is "ten million, five hundred thirty-seven thousand".