100344022400 has 96 divisors (see below), whose sum is σ = 253155538080. Its totient is φ = 39283558400.

The previous prime is 100344022397. The next prime is 100344022439. The reversal of 100344022400 is 4220443001.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 183191 + ... + 483990.

It is an arithmetic number, because the mean of its divisors is an integer number (2637036855).

Almost surely, 2^100344022400 is an apocalyptic number.

100344022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100344022400 is an abundant number, since it is smaller than the sum of its proper divisors (152811515680).

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

100344022400 is an equidigital number, since it uses as much as digits as its factorization.

100344022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667252 (or 667235 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100344022400 its reverse (4220443001), we get a palindrome (104564465401).

The spelling of 100344022400 in words is "one hundred billion, three hundred forty-four million, twenty-two thousand, four hundred".