107597123712 has 160 divisors (see below), whose sum is σ = 344839059180. Its totient is φ = 33106765824.

The previous prime is 107597123687. The next prime is 107597123723. The reversal of 107597123712 is 217321795701.

107597123712 is a `hidden beast` number, since 1 + 0 + 7 + 597 + 12 + 37 + 12 = 666.

107597123712 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 2 ways, for example, as 94209708096 + 13387415616 = 306936^2 + 115704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264363 + ... + 533930.

Almost surely, 2^107597123712 is an apocalyptic number.

107597123712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107597123712 is an abundant number, since it is smaller than the sum of its proper divisors (237241935468).

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

107597123712 is an equidigital number, since it uses as much as digits as its factorization.

107597123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798332 (or 798311 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 107597123712 in words is "one hundred seven billion, five hundred ninety-seven million, one hundred twenty-three thousand, seven hundred twelve".