115784972100 has 720 divisors, whose sum is σ = 466223493120. Its totient is φ = 24256454400.

The previous prime is 115784972089. The next prime is 115784972113. The reversal of 115784972100 is 1279487511.

It is a happy number.

115784972100 is a `hidden beast` number, since 1 + 1 + 57 + 8 + 497 + 2 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33394567 + ... + 33398033.

Almost surely, 2^115784972100 is an apocalyptic number.

115784972100 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 115784972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233111746560).

115784972100 is an abundant number, since it is smaller than the sum of its proper divisors (350438521020).

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

115784972100 is a wasteful number, since it uses less digits than its factorization.

115784972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 115784972100 in words is "one hundred fifteen billion, seven hundred eighty-four million, nine hundred seventy-two thousand, one hundred".