115674812100 has 135 divisors (see below), whose sum is σ = 375071293597. Its totient is φ = 30838453920.

The previous prime is 115674812089. The next prime is 115674812117. The reversal of 115674812100 is 1218476511.

The square root of 115674812100 is 340110.

It is a perfect power (a square), and thus also a powerful number.

115674812100 is a `hidden beast` number, since 1 + 1 + 567 + 4 + 81 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41642932356 + 74031879744 = 204066^2 + 272088^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 30608011 + ... + 30611789.

Almost surely, 2^115674812100 is an apocalyptic number.

115674812100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115674812100 is the 340110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115674812100

115674812100 is an abundant number, since it is smaller than the sum of its proper divisors (259396481497).

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

115674812100 is an frugal number, since it uses more digits than its factorization.

115674812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 115674812100 by its sum of digits (36), we get a square (4164293235600 = 2040660²).

115674812100 divided by its sum of digits (36) gives a square (3213189225 = 56685²).

The spelling of 115674812100 in words is "one hundred fifteen billion, six hundred seventy-four million, eight hundred twelve thousand, one hundred".