100164900800 has 42 divisors (see below), whose sum is σ = 246468262968. Its totient is φ = 40065959680.

The previous prime is 100164900793. The next prime is 100164900811. The reversal of 100164900800 is 8009461001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31299932 + ... + 31303131.

Almost surely, 2^100164900800 is an apocalyptic number.

100164900800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100164900800 is an abundant number, since it is smaller than the sum of its proper divisors (146303362168).

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

100164900800 is an equidigital number, since it uses as much as digits as its factorization.

100164900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62603085 (or 62603070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 100164900800 in words is "one hundred billion, one hundred sixty-four million, nine hundred thousand, eight hundred".