107505707013 has 24 divisors (see below), whose sum is σ = 159530099456. Its totient is φ = 69712812000.

The previous prime is 107505706969. The next prime is 107505707017. The reversal of 107505707013 is 310707505701.

It is a happy number.

107505707013 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 0 + 570 + 70 + 13 = 666.

It is not a de Polignac number, because 107505707013 - 2²⁶ = 107438598149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107505707017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1123188 + ... + 1215138.

Almost surely, 2^107505707013 is an apocalyptic number.

It is an amenable number.

107505707013 is a deficient number, since it is larger than the sum of its proper divisors (52024392443).

107505707013 is a wasteful number, since it uses less digits than its factorization.

107505707013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95505 (or 95502 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 36.

The spelling of 107505707013 in words is "one hundred seven billion, five hundred five million, seven hundred seven thousand, thirteen".