116525600 has 72 divisors (see below), whose sum is σ = 287208180. Its totient is φ = 46161920.

The previous prime is 116525579. The next prime is 116525623. The reversal of 116525600 is 6525611.

It can be written as a sum of positive squares in 6 ways, for example, as 25361296 + 91164304 = 5036^2 + 9548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116525600.

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, 89756 + ... + 91044.

Almost surely, 2^116525600 is an apocalyptic number.

116525600 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 116525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143604090).

116525600 is an abundant number, since it is smaller than the sum of its proper divisors (170682580).

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

116525600 is a wasteful number, since it uses less digits than its factorization.

116525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 116525600 is about 10794.7024044204. The cubic root of 116525600 is about 488.4353814024.

The spelling of 116525600 in words is "one hundred sixteen million, five hundred twenty-five thousand, six hundred".