116613737100 has 288 divisors, whose sum is σ = 431087408640. Its totient is φ = 26490343680.

The previous prime is 116613737087. The next prime is 116613737143. The reversal of 116613737100 is 1737316611.

It is a happy number.

116613737100 is a `hidden beast` number, since 1 + 1 + 6 + 613 + 7 + 37 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3061774 + ... + 3099626.

It is an arithmetic number, because the mean of its divisors is an integer number (1496831280).

Almost surely, 2^116613737100 is an apocalyptic number.

116613737100 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 116613737100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215543704320).

116613737100 is an abundant number, since it is smaller than the sum of its proper divisors (314473671540).

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

116613737100 is a wasteful number, since it uses less digits than its factorization.

116613737100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38046 (or 38033 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 116613737100 in words is "one hundred sixteen billion, six hundred thirteen million, seven hundred thirty-seven thousand, one hundred".