107145857872704 has 112 divisors (see below), whose sum is σ = 323990989474688. Its totient is φ = 30612882659328.

The previous prime is 107145857872661. The next prime is 107145857872721. The reversal of 107145857872704 is 407278758541701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107145857872704² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323540934 + ... + 323871930.

Almost surely, 2^{107145857872704} is an apocalyptic number.

107145857872704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107145857872704 is an abundant number, since it is smaller than the sum of its proper divisors (216845131601984).

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

107145857872704 is a wasteful number, since it uses less digits than its factorization.

107145857872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571872 (or 571862 counting only the distinct ones).

The product of its (nonzero) digits is 122931200, while the sum is 66.

The spelling of 107145857872704 in words is "one hundred seven trillion, one hundred forty-five billion, eight hundred fifty-seven million, eight hundred seventy-two thousand, seven hundred four".