100879200 has 108 divisors (see below), whose sum is σ = 355750668. Its totient is φ = 26899200.

The previous prime is 100879199. The next prime is 100879213. The reversal of 100879200 is 2978001.

It is a super-2 number, since 2×100879200² = 20353225985280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195 + ... + 14205.

Almost surely, 2^100879200 is an apocalyptic number.

100879200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177875334).

100879200 is an abundant number, since it is smaller than the sum of its proper divisors (254871468).

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

100879200 is a wasteful number, since it uses less digits than its factorization.

100879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100879200 is about 10043.8637983597. The cubic root of 100879200 is about 465.5152111164.

It can be divided in two parts, 1008 and 79200, that added together give a palindrome (80208).

The spelling of 100879200 in words is "one hundred million, eight hundred seventy-nine thousand, two hundred".