100404400 has 60 divisors (see below), whose sum is σ = 243663472. Its totient is φ = 39755520.

The previous prime is 100404383. The next prime is 100404427. The reversal of 100404400 is 4404001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39982 + ... + 42418.

Almost surely, 2^100404400 is an apocalyptic number.

100404400 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 100404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121831736).

100404400 is an abundant number, since it is smaller than the sum of its proper divisors (143259072).

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

100404400 is a wasteful number, since it uses less digits than its factorization.

100404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 100404400 is about 10020.1995988104. The cubic root of 100404400 is about 464.7837280009.

Adding to 100404400 its reverse (4404001), we get a palindrome (104808401).

The spelling of 100404400 in words is "one hundred million, four hundred four thousand, four hundred".