107402852960 has 288 divisors, whose sum is σ = 300345760512. Its totient is φ = 36114923520.

The previous prime is 107402852951. The next prime is 107402852993. The reversal of 107402852960 is 69258204701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14246312 + ... + 14253848.

It is an arithmetic number, because the mean of its divisors is an integer number (1042867224).

Almost surely, 2^107402852960 is an apocalyptic number.

107402852960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107402852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150172880256).

107402852960 is an abundant number, since it is smaller than the sum of its proper divisors (192942907552).

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

107402852960 is a wasteful number, since it uses less digits than its factorization.

107402852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 107402852960 in words is "one hundred seven billion, four hundred two million, eight hundred fifty-two thousand, nine hundred sixty".