107988900 has 72 divisors (see below), whose sum is σ = 316792224. Its totient is φ = 28396800.

The previous prime is 107988877. The next prime is 107988943. The reversal of 107988900 is 9889701.

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, 19435 + ... + 24365.

It is an arithmetic number, because the mean of its divisors is an integer number (4399892).

Almost surely, 2^107988900 is an apocalyptic number.

107988900 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 107988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158396112).

107988900 is an abundant number, since it is smaller than the sum of its proper divisors (208803324).

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

107988900 is a wasteful number, since it uses less digits than its factorization.

107988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 107988900 is about 10391.7707826915. The cubic root of 107988900 is about 476.2040000762.

The spelling of 107988900 in words is "one hundred seven million, nine hundred eighty-eight thousand, nine hundred".