115106605668 has 36 divisors (see below), whose sum is σ = 308079446220. Its totient is φ = 36111876096.

The previous prime is 115106605637. The next prime is 115106605681. The reversal of 115106605668 is 866506601511.

115106605668 is a `hidden beast` number, since 1 + 15 + 10 + 6 + 60 + 566 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61723427364 + 53383178304 = 248442^2 + 231048^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 94040733 + ... + 94041956.

It is an arithmetic number, because the mean of its divisors is an integer number (8557762395).

Almost surely, 2^115106605668 is an apocalyptic number.

115106605668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115106605668 is an abundant number, since it is smaller than the sum of its proper divisors (192972840552).

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

115106605668 is a wasteful number, since it uses less digits than its factorization.

115106605668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188082716 (or 188082711 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115106605668 in words is "one hundred fifteen billion, one hundred six million, six hundred five thousand, six hundred sixty-eight".