116157600 has 432 divisors, whose sum is σ = 473454072. Its totient is φ = 26542080.

The previous prime is 116157593. The next prime is 116157611. The reversal of 116157600 is 6751611.

116157600 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 57 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6411024 + 109746576 = 2532^2 + 10476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591164 + ... + 1591236.

Almost surely, 2^116157600 is an apocalyptic number.

116157600 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 116157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236727036).

116157600 is an abundant number, since it is smaller than the sum of its proper divisors (357296472).

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

116157600 is a wasteful number, since it uses less digits than its factorization.

116157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 116157600 is about 10777.6435272280. The cubic root of 116157600 is about 487.9206625479.

The spelling of 116157600 in words is "one hundred sixteen million, one hundred fifty-seven thousand, six hundred".