100616566400 has 96 divisors (see below), whose sum is σ = 284062190880. Its totient is φ = 34497100800.

The previous prime is 100616566397. The next prime is 100616566433. The reversal of 100616566400 is 4665616001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223506 + ... + 2268305.

It is an arithmetic number, because the mean of its divisors is an integer number (2958981155).

Almost surely, 2^100616566400 is an apocalyptic number.

100616566400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100616566400 is an abundant number, since it is smaller than the sum of its proper divisors (183445624480).

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

100616566400 is an equidigital number, since it uses as much as digits as its factorization.

100616566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491842 (or 4491825 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 100616566400 in words is "one hundred billion, six hundred sixteen million, five hundred sixty-six thousand, four hundred".