107139756456 has 128 divisors (see below), whose sum is σ = 307412582400. Its totient is φ = 34538512320.

The previous prime is 107139756433. The next prime is 107139756497. The reversal of 107139756456 is 654657931701.

107139756456 is a `hidden beast` number, since 1 + 0 + 7 + 139 + 7 + 56 + 456 = 666.

It is a super-2 number, since 2×107139756456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12363181 + ... + 12371843.

It is an arithmetic number, because the mean of its divisors is an integer number (2401660800).

Almost surely, 2^107139756456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107139756456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153706291200).

107139756456 is an abundant number, since it is smaller than the sum of its proper divisors (200272825944).

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

107139756456 is a wasteful number, since it uses less digits than its factorization.

107139756456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 107139756456 in words is "one hundred seven billion, one hundred thirty-nine million, seven hundred fifty-six thousand, four hundred fifty-six".