100404224000 has 224 divisors, whose sum is σ = 254307148992. Its totient is φ = 39567360000.

The previous prime is 100404223987. The next prime is 100404224003. The reversal of 100404224000 is 422404001.

It is a self number, because there is not a number n which added to its sum of digits gives 100404224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404224003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72703310 + ... + 72704690.

Almost surely, 2^100404224000 is an apocalyptic number.

100404224000 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 100404224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153574496).

100404224000 is an abundant number, since it is smaller than the sum of its proper divisors (153902924992).

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

100404224000 is an frugal number, since it uses more digits than its factorization.

100404224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 100404224000 its reverse (422404001), we get a palindrome (100826628001).

The spelling of 100404224000 in words is "one hundred billion, four hundred four million, two hundred twenty-four thousand".