100872100 has 36 divisors (see below), whose sum is σ = 250164544. Its totient is φ = 34584480.

The previous prime is 100872073. The next prime is 100872119. The reversal of 100872100 is 1278001.

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, 71352 + ... + 72751.

Almost surely, 2^100872100 is an apocalyptic number.

100872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100872100 is an abundant number, since it is smaller than the sum of its proper divisors (149292444).

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

100872100 is a wasteful number, since it uses less digits than its factorization.

100872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144124 (or 144117 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 100872100 is about 10043.5103425048. The cubic root of 100872100 is about 465.5042896859.

The spelling of 100872100 in words is "one hundred million, eight hundred seventy-two thousand, one hundred".