100844013312 has 432 divisors, whose sum is σ = 365182675200. Its totient is φ = 27294382080.

The previous prime is 100844013269. The next prime is 100844013341. The reversal of 100844013312 is 213310448001.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6427237 + ... + 6442907.

Almost surely, 2^100844013312 is an apocalyptic number.

100844013312 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 100844013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182591337600).

100844013312 is an abundant number, since it is smaller than the sum of its proper divisors (264338661888).

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

100844013312 is a wasteful number, since it uses less digits than its factorization.

100844013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100844013312 in words is "one hundred billion, eight hundred forty-four million, thirteen thousand, three hundred twelve".