116201600 has 48 divisors (see below), whose sum is σ = 287062170. Its totient is φ = 46479360.

The previous prime is 116201581. The next prime is 116201627. The reversal of 116201600 is 6102611.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 62853184 + 53348416 = 7928^2 + 7304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14957 + ... + 21356.

Almost surely, 2^116201600 is an apocalyptic number.

116201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116201600 is an abundant number, since it is smaller than the sum of its proper divisors (170860570).

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

116201600 is an equidigital number, since it uses as much as digits as its factorization.

116201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36337 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 116201600 is about 10779.6845964991. The cubic root of 116201600 is about 487.9822621878.

The spelling of 116201600 in words is "one hundred sixteen million, two hundred one thousand, six hundred".