104374400 has 144 divisors (see below), whose sum is σ = 280643310. Its totient is φ = 38338560.

The previous prime is 104374379. The next prime is 104374423. The reversal of 104374400 is 4473401.

It can be written as a sum of positive squares in 9 ways, for example, as 7706176 + 96668224 = 2776^2 + 9832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540704 + ... + 540896.

Almost surely, 2^104374400 is an apocalyptic number.

104374400 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 104374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321655).

104374400 is an abundant number, since it is smaller than the sum of its proper divisors (176268910).

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

104374400 is a wasteful number, since it uses less digits than its factorization.

104374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 104374400 is about 10216.3790062820. The cubic root of 104374400 is about 470.8305820359.

Subtracting from 104374400 its reverse (4473401), we obtain a palindrome (99900999).

It can be divided in two parts, 104 and 374400, that multiplied together give a square (38937600 = 6240²).

The spelling of 104374400 in words is "one hundred four million, three hundred seventy-four thousand, four hundred".