100112200 has 48 divisors (see below), whose sum is σ = 235983780. Its totient is φ = 39490560.

The previous prime is 100112179. The next prime is 100112219. The reversal of 100112200 is 2211001.

It can be written as a sum of positive squares in 6 ways, for example, as 10355524 + 89756676 = 3218^2 + 9474^2 .

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, 11172 + ... + 18028.

Almost surely, 2^100112200 is an apocalyptic number.

100112200 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 100112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117991890).

100112200 is an abundant number, since it is smaller than the sum of its proper divisors (135871580).

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

100112200 is a wasteful number, since it uses less digits than its factorization.

100112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100112200 is about 10005.6084272772. The cubic root of 100112200 is about 464.3324138994.

Adding to 100112200 its reverse (2211001), we get a palindrome (102323201).

The spelling of 100112200 in words is "one hundred million, one hundred twelve thousand, two hundred".