116564100 has 72 divisors (see below), whose sum is σ = 340686528. Its totient is φ = 30768000.

The previous prime is 116564011. The next prime is 116564131. The reversal of 116564100 is 1465611.

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 23 ways as a sum of consecutive naturals, for example, 28377 + ... + 32223.

Almost surely, 2^116564100 is an apocalyptic number.

116564100 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 116564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170343264).

116564100 is an abundant number, since it is smaller than the sum of its proper divisors (224122428).

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

116564100 is a wasteful number, since it uses less digits than its factorization.

116564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 116564100 is about 10796.4855392855. The cubic root of 116564100 is about 488.4891684144.

The spelling of 116564100 in words is "one hundred sixteen million, five hundred sixty-four thousand, one hundred".