116557600 has 72 divisors (see below), whose sum is σ = 290020500. Its totient is φ = 45726720.

The previous prime is 116557591. The next prime is 116557601. The reversal of 116557600 is 6755611.

It can be written as a sum of positive squares in 6 ways, for example, as 30958096 + 85599504 = 5564^2 + 9252^2 .

It is not an unprimeable number, because it can be changed into a prime (116557601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41026 + ... + 43774.

Almost surely, 2^116557600 is an apocalyptic number.

116557600 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 116557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145010250).

116557600 is an abundant number, since it is smaller than the sum of its proper divisors (173462900).

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

116557600 is a wasteful number, since it uses less digits than its factorization.

116557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 116557600 is about 10796.1845112058. The cubic root of 116557600 is about 488.4800883214.

The spelling of 116557600 in words is "one hundred sixteen million, five hundred fifty-seven thousand, six hundred".