100974784680 has 640 divisors, whose sum is σ = 425234810880. Its totient is φ = 20877626880.

The previous prime is 100974784663. The next prime is 100974784697. The reversal of 100974784680 is 86487479001.

It is a happy number.

100974784680 is a `hidden beast` number, since 1 + 0 + 0 + 97 + 478 + 4 + 6 + 80 = 666.

100974784680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100974784663) and next prime (100974784697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56631069 + ... + 56632851.

It is an arithmetic number, because the mean of its divisors is an integer number (664429392).

Almost surely, 2^100974784680 is an apocalyptic number.

100974784680 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 100974784680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212617405440).

100974784680 is an abundant number, since it is smaller than the sum of its proper divisors (324260026200).

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

100974784680 is a wasteful number, since it uses less digits than its factorization.

100974784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 100974784680 in words is "one hundred billion, nine hundred seventy-four million, seven hundred eighty-four thousand, six hundred eighty".