100272170160 has 640 divisors, whose sum is σ = 379047168000. Its totient is φ = 24267091968.

The previous prime is 100272170147. The next prime is 100272170197. The reversal of 100272170160 is 61071272001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205897437 + ... + 205897923.

It is an arithmetic number, because the mean of its divisors is an integer number (592261200).

Almost surely, 2^100272170160 is an apocalyptic number.

100272170160 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 100272170160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523584000).

100272170160 is an abundant number, since it is smaller than the sum of its proper divisors (278774997840).

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

100272170160 is a wasteful number, since it uses less digits than its factorization.

100272170160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 100272170160 in words is "one hundred billion, two hundred seventy-two million, one hundred seventy thousand, one hundred sixty".