100405824912 has 80 divisors (see below), whose sum is σ = 294904329280. Its totient is φ = 32690262528.

The previous prime is 100405824889. The next prime is 100405824917. The reversal of 100405824912 is 219428504001.

100405824912 is a `hidden beast` number, since 1 + 0 + 0 + 405 + 8 + 249 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100405824917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2683993 + ... + 2721144.

It is an arithmetic number, because the mean of its divisors is an integer number (3686304116).

Almost surely, 2^100405824912 is an apocalyptic number.

100405824912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100405824912 is an abundant number, since it is smaller than the sum of its proper divisors (194498504368).

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

100405824912 is a wasteful number, since it uses less digits than its factorization.

100405824912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405197 (or 5405185 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100405824912 in words is "one hundred billion, four hundred five million, eight hundred twenty-four thousand, nine hundred twelve".