107024864128 has 128 divisors (see below), whose sum is σ = 262606115520. Its totient is φ = 42308960256.

The previous prime is 107024864087. The next prime is 107024864137. The reversal of 107024864128 is 821468420701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107024864128² (a number of 23 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, 22979176 + ... + 22983832.

Almost surely, 2^107024864128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107024864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131303057760).

107024864128 is an abundant number, since it is smaller than the sum of its proper divisors (155581251392).

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

107024864128 is a wasteful number, since it uses less digits than its factorization.

107024864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 107024864128 in words is "one hundred seven billion, twenty-four million, eight hundred sixty-four thousand, one hundred twenty-eight".