116365052100 has 72 divisors (see below), whose sum is σ = 367290429408. Its totient is φ = 28209708800.

The previous prime is 116365052099. The next prime is 116365052101. The reversal of 116365052100 is 1250563611.

It is an interprime number because it is at equal distance from previous prime (116365052099) and next prime (116365052101).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (116365052101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17627769 + ... + 17634368.

It is an arithmetic number, because the mean of its divisors is an integer number (5101255964).

Almost surely, 2^116365052100 is an apocalyptic number.

116365052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116365052100 is an abundant number, since it is smaller than the sum of its proper divisors (250925377308).

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

116365052100 is a wasteful number, since it uses less digits than its factorization.

116365052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35262165 (or 35262158 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 116365052100 in words is "one hundred sixteen billion, three hundred sixty-five million, fifty-two thousand, one hundred".