10537569900 has 432 divisors, whose sum is σ = 39770142048. Its totient is φ = 2299392000.

The previous prime is 10537569883. The next prime is 10537569923. The reversal of 10537569900 is 996573501.

It is a super-2 number, since 2×10537569900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5275702 + ... + 5277698.

It is an arithmetic number, because the mean of its divisors is an integer number (92060514).

Almost surely, 2^10537569900 is an apocalyptic number.

10537569900 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 10537569900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885071024).

10537569900 is an abundant number, since it is smaller than the sum of its proper divisors (29232572148).

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

10537569900 is a wasteful number, since it uses less digits than its factorization.

10537569900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10537569900 in words is "ten billion, five hundred thirty-seven million, five hundred sixty-nine thousand, nine hundred".