116856100 has 81 divisors (see below), whose sum is σ = 270842257. Its totient is φ = 43758880.

The previous prime is 116856097. The next prime is 116856119. The reversal of 116856100 is 1658611.

The square root of 116856100 is 10810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42068196 + 74787904 = 6486^2 + 8648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2486277 + ... + 2486323.

Almost surely, 2^116856100 is an apocalyptic number.

116856100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116856100 is the 10810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116856100

116856100 is an abundant number, since it is smaller than the sum of its proper divisors (153986157).

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

116856100 is a wasteful number, since it uses less digits than its factorization.

116856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 116856100 is about 488.8967264201.

The spelling of 116856100 in words is "one hundred sixteen million, eight hundred fifty-six thousand, one hundred".