107864915616 has 144 divisors (see below), whose sum is σ = 311535904680. Its totient is φ = 35396444160.

The previous prime is 107864915591. The next prime is 107864915681. The reversal of 107864915616 is 616519468701.

107864915616 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 4 + 9 + 15 + 616 = 666.

107864915616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78397760016 + 29467155600 = 279996^2 + 171660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5963226 + ... + 5981286.

Almost surely, 2^107864915616 is an apocalyptic number.

107864915616 is a gapful number since it is divisible by the number (16) 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 107864915616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155767952340).

107864915616 is an abundant number, since it is smaller than the sum of its proper divisors (203670989064).

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

107864915616 is a wasteful number, since it uses less digits than its factorization.

107864915616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 107864915616 in words is "one hundred seven billion, eight hundred sixty-four million, nine hundred fifteen thousand, six hundred sixteen".