107163947520 has 240 divisors, whose sum is σ = 424159369920. Its totient is φ = 24494579712.

The previous prime is 107163947453. The next prime is 107163947543. The reversal of 107163947520 is 25749361701.

107163947520 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 639 + 4 + 7 + 5 + 2 + 0 = 666.

107163947520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107163947520² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 170950 + ... + 493509.

It is an arithmetic number, because the mean of its divisors is an integer number (1767330708).

Almost surely, 2^107163947520 is an apocalyptic number.

107163947520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107163947520 is an abundant number, since it is smaller than the sum of its proper divisors (316995422400).

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

107163947520 is an equidigital number, since it uses as much as digits as its factorization.

107163947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664495 (or 664476 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 107163947520 in words is "one hundred seven billion, one hundred sixty-three million, nine hundred forty-seven thousand, five hundred twenty".