100884105504 has 1152 divisors, whose sum is σ = 390480168960. Its totient is φ = 25395793920.

The previous prime is 100884105461. The next prime is 100884105551. The reversal of 100884105504 is 405501488001.

100884105504 is a `hidden beast` number, since 10 + 0 + 8 + 84 + 10 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1381974012 + ... + 1381974084.

It is an arithmetic number, because the mean of its divisors is an integer number (338958480).

Almost surely, 2^100884105504 is an apocalyptic number.

100884105504 is a gapful number since it is divisible by the number (14) 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 100884105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195240084480).

100884105504 is an abundant number, since it is smaller than the sum of its proper divisors (289596063456).

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

100884105504 is an equidigital number, since it uses as much as digits as its factorization.

100884105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 100884105504 in words is "one hundred billion, eight hundred eighty-four million, one hundred five thousand, five hundred four".