100254554344 has 64 divisors (see below), whose sum is σ = 218134425600. Its totient is φ = 42306162624.

The previous prime is 100254554339. The next prime is 100254554357. The reversal of 100254554344 is 443455452001.

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 15 ways as a sum of consecutive naturals, for example, 11337877 + ... + 11346715.

It is an arithmetic number, because the mean of its divisors is an integer number (3408350400).

Almost surely, 2^100254554344 is an apocalyptic number.

100254554344 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 100254554344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109067212800).

100254554344 is an abundant number, since it is smaller than the sum of its proper divisors (117879871256).

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

100254554344 is a wasteful number, since it uses less digits than its factorization.

100254554344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 100254554344 in words is "one hundred billion, two hundred fifty-four million, five hundred fifty-four thousand, three hundred forty-four".