100917722880 has 1152 divisors, whose sum is σ = 416232311040. Its totient is φ = 22932357120.

The previous prime is 100917722813. The next prime is 100917722933. The reversal of 100917722880 is 88227719001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 557556390 + ... + 557556570.

It is an arithmetic number, because the mean of its divisors is an integer number (361312770).

Almost surely, 2^100917722880 is an apocalyptic number.

100917722880 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 100917722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208116155520).

100917722880 is an abundant number, since it is smaller than the sum of its proper divisors (315314588160).

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

100917722880 is a wasteful number, since it uses less digits than its factorization.

100917722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 100917722880 in words is "one hundred billion, nine hundred seventeen million, seven hundred twenty-two thousand, eight hundred eighty".