107533608264 has 128 divisors (see below), whose sum is σ = 305839756800. Its totient is φ = 34992207360.

The previous prime is 107533608181. The next prime is 107533608277. The reversal of 107533608264 is 462806335701.

107533608264 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 33 + 608 + 2 + 6 + 4 = 666.

It is a super-3 number, since 3×107533608264³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4017004 + ... + 4043684.

It is an arithmetic number, because the mean of its divisors is an integer number (2389373100).

Almost surely, 2^107533608264 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 107533608264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152919878400).

107533608264 is an abundant number, since it is smaller than the sum of its proper divisors (198306148536).

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

107533608264 is a wasteful number, since it uses less digits than its factorization.

107533608264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27130 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 107533608264 in words is "one hundred seven billion, five hundred thirty-three million, six hundred eight thousand, two hundred sixty-four".