100874439040032 has 192 divisors, whose sum is σ = 336493058146560. Its totient is φ = 28800274470912.

The previous prime is 100874439040013. The next prime is 100874439040127. The reversal of 100874439040032 is 230040934478001.

100874439040032 is a `hidden beast` number, since 1 + 0 + 0 + 87 + 443 + 90 + 40 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×100874439040032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100874439040032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229988 + ... + 14377820.

It is an arithmetic number, because the mean of its divisors is an integer number (1752568011180).

Almost surely, 2^{100874439040032} is an apocalyptic number.

100874439040032 is a gapful number since it is divisible by the number (12) 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 100874439040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168246529073280).

100874439040032 is an abundant number, since it is smaller than the sum of its proper divisors (235618619106528).

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

100874439040032 is a wasteful number, since it uses less digits than its factorization.

100874439040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149232 (or 12149218 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 100874439040032 in words is "one hundred trillion, eight hundred seventy-four billion, four hundred thirty-nine million, forty thousand, thirty-two".