107593680420 has 36 divisors (see below), whose sum is σ = 326367497820. Its totient is φ = 28691648064.

The previous prime is 107593680407. The next prime is 107593680431. The reversal of 107593680420 is 24086395701.

107593680420 is a `hidden beast` number, since 10 + 7 + 593 + 6 + 8 + 0 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62828430336 + 44765250084 = 250656^2 + 211578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298871155 + ... + 298871514.

It is a 1-persistent number, because it is pandigital, but 2⋅107593680420 = 215187360840 is not.

Almost surely, 2^107593680420 is an apocalyptic number.

107593680420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107593680420 is an abundant number, since it is smaller than the sum of its proper divisors (218773817400).

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

107593680420 is a wasteful number, since it uses less digits than its factorization.

107593680420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597742684 (or 597742679 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107593680420 in words is "one hundred seven billion, five hundred ninety-three million, six hundred eighty thousand, four hundred twenty".