100504466400 has 144 divisors (see below), whose sum is σ = 352306919664. Its totient is φ = 24739553280.

The previous prime is 100504466399. The next prime is 100504466437. The reversal of 100504466400 is 4664405001.

100504466400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100504466400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579449 + ... + 1641848.

It is an arithmetic number, because the mean of its divisors is an integer number (2446575831).

Almost surely, 2^100504466400 is an apocalyptic number.

100504466400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100504466400 is an abundant number, since it is smaller than the sum of its proper divisors (251802453264).

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

100504466400 is a wasteful number, since it uses less digits than its factorization.

100504466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221333 (or 3221320 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 100504466400 in words is "one hundred billion, five hundred four million, four hundred sixty-six thousand, four hundred".