104606400 has 336 divisors, whose sum is σ = 382991360. Its totient is φ = 24883200.

The previous prime is 104606357. The next prime is 104606429. The reversal of 104606400 is 4606401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2827182 + ... + 2827218.

Almost surely, 2^104606400 is an apocalyptic number.

104606400 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 104606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191495680).

104606400 is an abundant number, since it is smaller than the sum of its proper divisors (278384960).

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

104606400 is a wasteful number, since it uses less digits than its factorization.

104606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104606400 is about 10227.7270202132. The cubic root of 104606400 is about 471.1791728202.

Subtracting from 104606400 its reverse (4606401), we obtain a palindrome (99999999).

The spelling of 104606400 in words is "one hundred four million, six hundred six thousand, four hundred".