100044344400 has 960 divisors, whose sum is σ = 442114369536. Its totient is φ = 18662400000.

The previous prime is 100044344399. The next prime is 100044344419. The reversal of 100044344400 is 4443440001.

It is a super-2 number, since 2×100044344400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 44443275 + ... + 44445525.

Almost surely, 2^100044344400 is an apocalyptic number.

100044344400 is a gapful number since it is divisible by the number (10) 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 100044344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221057184768).

100044344400 is an abundant number, since it is smaller than the sum of its proper divisors (342070025136).

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

100044344400 is a wasteful number, since it uses less digits than its factorization.

100044344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100044344400 its reverse (4443440001), we get a palindrome (104487784401).

It can be divided in two parts, 100044 and 344400, that added together give a palindrome (444444).

The spelling of 100044344400 in words is "one hundred billion, forty-four million, three hundred forty-four thousand, four hundred".