100088400 has 60 divisors (see below), whose sum is σ = 320620352. Its totient is φ = 26689920.

The previous prime is 100088399. The next prime is 100088413. The reversal of 100088400 is 4880001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 40504 + ... + 42903.

Almost surely, 2^100088400 is an apocalyptic number.

100088400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100088400 is an abundant number, since it is smaller than the sum of its proper divisors (220531952).

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

100088400 is a wasteful number, since it uses less digits than its factorization.

100088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83428 (or 83417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100088400 is about 10004.4190236115. The cubic root of 100088400 is about 464.2956152298.

The spelling of 100088400 in words is "one hundred million, eighty-eight thousand, four hundred".