104294400 has 288 divisors, whose sum is σ = 398099520. Its totient is φ = 23592960.

The previous prime is 104294387. The next prime is 104294419. The reversal of 104294400 is 4492401.

It is a super-3 number, since 3×104294400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1075152 + ... + 1075248.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 2^104294400 is an apocalyptic number.

104294400 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 104294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199049760).

104294400 is an abundant number, since it is smaller than the sum of its proper divisors (293805120).

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

104294400 is an equidigital number, since it uses as much as digits as its factorization.

104294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104294400 is about 10212.4629742291. The cubic root of 104294400 is about 470.7102585528.

The spelling of 104294400 in words is "one hundred four million, two hundred ninety-four thousand, four hundred".