10107916560 has 160 divisors (see below), whose sum is σ = 39789953280. Its totient is φ = 2310377472.

The previous prime is 10107916549. The next prime is 10107916579. The reversal of 10107916560 is 6561970101.

It is a happy number.

10107916560 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 7 + 91 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 319137 + ... + 349376.

It is an arithmetic number, because the mean of its divisors is an integer number (248687208).

Almost surely, 2^10107916560 is an apocalyptic number.

10107916560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10107916560 is an abundant number, since it is smaller than the sum of its proper divisors (29682036720).

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

10107916560 is a wasteful number, since it uses less digits than its factorization.

10107916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668542 (or 668530 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10107916560 in words is "ten billion, one hundred seven million, nine hundred sixteen thousand, five hundred sixty".