100635400404 has 576 divisors, whose sum is σ = 339771801600. Its totient is φ = 25199285760.

The previous prime is 100635400387. The next prime is 100635400457. The reversal of 100635400404 is 404004536001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 382643977 + ... + 382644239.

It is an arithmetic number, because the mean of its divisors is an integer number (589881600).

Almost surely, 2^100635400404 is an apocalyptic number.

100635400404 is a gapful number since it is divisible by the number (14) 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 100635400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169885900800).

100635400404 is an abundant number, since it is smaller than the sum of its proper divisors (239136401196).

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

100635400404 is a wasteful number, since it uses less digits than its factorization.

100635400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100635400404 its reverse (404004536001), we get a palindrome (504639936405).

The spelling of 100635400404 in words is "one hundred billion, six hundred thirty-five million, four hundred thousand, four hundred four".