107407461357 has 48 divisors (see below), whose sum is σ = 182882119680. Its totient is φ = 59460293376.

The previous prime is 107407461347. The next prime is 107407461419. The reversal of 107407461357 is 753164704701.

107407461357 is a `hidden beast` number, since 107 + 407 + 4 + 6 + 135 + 7 = 666.

It is not a de Polignac number, because 107407461357 - 2⁷ = 107407461229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107407461347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444244 + ... + 642002.

It is an arithmetic number, because the mean of its divisors is an integer number (3810044160).

Almost surely, 2^107407461357 is an apocalyptic number.

It is an amenable number.

107407461357 is a deficient number, since it is larger than the sum of its proper divisors (75474658323).

107407461357 is a wasteful number, since it uses less digits than its factorization.

107407461357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198042 (or 198039 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 107407461357 in words is "one hundred seven billion, four hundred seven million, four hundred sixty-one thousand, three hundred fifty-seven".