100687574222928 has 960 divisors, whose sum is σ = 384004522137600. Its totient is φ = 24774258862080.

The previous prime is 100687574222909. The next prime is 100687574222941. The reversal of 100687574222928 is 829222475786001.

100687574222928 is a `hidden beast` number, since 10 + 0 + 6 + 8 + 7 + 574 + 2 + 2 + 29 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460031503 + ... + 460250321.

It is an arithmetic number, because the mean of its divisors is an integer number (400004710560).

Almost surely, 2^{100687574222928} is an apocalyptic number.

100687574222928 is a gapful number since it is divisible by the number (18) 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 100687574222928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192002261068800).

100687574222928 is an abundant number, since it is smaller than the sum of its proper divisors (283316947914672).

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

100687574222928 is a wasteful number, since it uses less digits than its factorization.

100687574222928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218942 (or 218924 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 100687574222928 in words is "one hundred trillion, six hundred eighty-seven billion, five hundred seventy-four million, two hundred twenty-two thousand, nine hundred twenty-eight".