104406400 has 192 divisors, whose sum is σ = 303552000. Its totient is φ = 34744320.

The previous prime is 104406397. The next prime is 104406403. The reversal of 104406400 is 4604401.

It is an interprime number because it is at equal distance from previous prime (104406397) and next prime (104406403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104406403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1321561 + ... + 1321639.

It is an arithmetic number, because the mean of its divisors is an integer number (1581000).

Almost surely, 2^104406400 is an apocalyptic number.

104406400 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 104406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

104406400 is an abundant number, since it is smaller than the sum of its proper divisors (199145600).

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

104406400 is an equidigital number, since it uses as much as digits as its factorization.

104406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 104406400 is about 10217.9449988733. The cubic root of 104406400 is about 470.8786942140.

The spelling of 104406400 in words is "one hundred four million, four hundred six thousand, four hundred".