104066400 has 144 divisors (see below), whose sum is σ = 342353088. Its totient is φ = 27456000.

The previous prime is 104066393. The next prime is 104066423. The reversal of 104066400 is 4660401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314235 + ... + 314565.

It is an arithmetic number, because the mean of its divisors is an integer number (2377452).

Almost surely, 2^104066400 is an apocalyptic number.

104066400 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 104066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171176544).

104066400 is an abundant number, since it is smaller than the sum of its proper divisors (238286688).

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

104066400 is a wasteful number, since it uses less digits than its factorization.

104066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

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

The square root of 104066400 is about 10201.2940355624. The cubic root of 104066400 is about 470.3669987029.

The spelling of 104066400 in words is "one hundred four million, sixty-six thousand, four hundred".