100324444400 has 240 divisors, whose sum is σ = 259169245440. Its totient is φ = 37236326400.

The previous prime is 100324444397. The next prime is 100324444417. The reversal of 100324444400 is 4444423001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100324444400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56456312 + ... + 56458088.

It is an arithmetic number, because the mean of its divisors is an integer number (1079871856).

Almost surely, 2^100324444400 is an apocalyptic number.

100324444400 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 100324444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129584622720).

100324444400 is an abundant number, since it is smaller than the sum of its proper divisors (158844801040).

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

100324444400 is a wasteful number, since it uses less digits than its factorization.

100324444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 100324444400 its reverse (4444423001), we get a palindrome (104768867401).

The spelling of 100324444400 in words is "one hundred billion, three hundred twenty-four million, four hundred forty-four thousand, four hundred".