100668160560 has 320 divisors, whose sum is σ = 360759767040. Its totient is φ = 22965120000.

The previous prime is 100668160547. The next prime is 100668160577. The reversal of 100668160560 is 65061866001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7567515 + ... + 7580805.

It is an arithmetic number, because the mean of its divisors is an integer number (1127374272).

Almost surely, 2^100668160560 is an apocalyptic number.

100668160560 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 100668160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180379883520).

100668160560 is an abundant number, since it is smaller than the sum of its proper divisors (260091606480).

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

100668160560 is a wasteful number, since it uses less digits than its factorization.

100668160560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13488 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 100668160560 in words is "one hundred billion, six hundred sixty-eight million, one hundred sixty thousand, five hundred sixty".