100456911720 has 512 divisors, whose sum is σ = 385751808000. Its totient is φ = 22997882880.

The previous prime is 100456911719. The next prime is 100456911743. The reversal of 100456911720 is 27119654001.

100456911720 is a `hidden beast` number, since 10 + 0 + 4 + 569 + 11 + 72 + 0 = 666.

It is a super-2 number, since 2×100456911720² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 105410764 + ... + 105411716.

It is an arithmetic number, because the mean of its divisors is an integer number (753421500).

Almost surely, 2^100456911720 is an apocalyptic number.

100456911720 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 100456911720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192875904000).

100456911720 is an abundant number, since it is smaller than the sum of its proper divisors (285294896280).

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

100456911720 is a wasteful number, since it uses less digits than its factorization.

100456911720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 100456911720 in words is "one hundred billion, four hundred fifty-six million, nine hundred eleven thousand, seven hundred twenty".