107830457424 has 60 divisors (see below), whose sum is σ = 301808542516. Its totient is φ = 35939552256.

The previous prime is 107830457417. The next prime is 107830457429. The reversal of 107830457424 is 424754038701.

107830457424 is a `hidden beast` number, since 1 + 0 + 78 + 3 + 0 + 4 + 574 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88487211024 + 19343246400 = 297468^2 + 139080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107830457424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107830457429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1472952 + ... + 1544424.

Almost surely, 2^107830457424 is an apocalyptic number.

It is an amenable number.

107830457424 is an abundant number, since it is smaller than the sum of its proper divisors (193978085092).

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

107830457424 is a wasteful number, since it uses less digits than its factorization.

107830457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81964 (or 81955 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 107830457424 in words is "one hundred seven billion, eight hundred thirty million, four hundred fifty-seven thousand, four hundred twenty-four".