116105600 has 96 divisors (see below), whose sum is σ = 308990640. Its totient is φ = 42854400.

The previous prime is 116105567. The next prime is 116105609. The reversal of 116105600 is 6501611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116105609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40205 + ... + 42995.

Almost surely, 2^116105600 is an apocalyptic number.

116105600 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 116105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154495320).

116105600 is an abundant number, since it is smaller than the sum of its proper divisors (192885040).

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

116105600 is a wasteful number, since it uses less digits than its factorization.

116105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 116105600 is about 10775.2308559956. The cubic root of 116105600 is about 487.8478429148.

The spelling of 116105600 in words is "one hundred sixteen million, one hundred five thousand, six hundred".