100029118400 has 42 divisors (see below), whose sum is σ = 246134153400. Its totient is φ = 40011646720.

The previous prime is 100029118391. The next prime is 100029118457. The reversal of 100029118400 is 4811920001.

100029118400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100029118400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31257500 + ... + 31260699.

Almost surely, 2^100029118400 is an apocalyptic number.

100029118400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100029118400 is an abundant number, since it is smaller than the sum of its proper divisors (146105035000).

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

100029118400 is an equidigital number, since it uses as much as digits as its factorization.

100029118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62518221 (or 62518206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 100029118400 in words is "one hundred billion, twenty-nine million, one hundred eighteen thousand, four hundred".