100617054720 has 960 divisors, whose sum is σ = 408621096576. Its totient is φ = 20932853760.

The previous prime is 100617054697. The next prime is 100617054737. The reversal of 100617054720 is 27450716001.

100617054720 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 (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640872882 + ... + 640873038.

Almost surely, 2^100617054720 is an apocalyptic number.

100617054720 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 100617054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204310548288).

100617054720 is an abundant number, since it is smaller than the sum of its proper divisors (308004041856).

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

100617054720 is a wasteful number, since it uses less digits than its factorization.

100617054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 100617054720 in words is "one hundred billion, six hundred seventeen million, fifty-four thousand, seven hundred twenty".