104738400 has 288 divisors, whose sum is σ = 409036320. Its totient is φ = 25712640.

The previous prime is 104738383. The next prime is 104738407. The reversal of 104738400 is 4837401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104738407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280614 + ... + 280986.

It is an arithmetic number, because the mean of its divisors is an integer number (1420265).

Almost surely, 2^104738400 is an apocalyptic number.

104738400 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 104738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204518160).

104738400 is an abundant number, since it is smaller than the sum of its proper divisors (304297920).

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

104738400 is a wasteful number, since it uses less digits than its factorization.

104738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104738400 is about 10234.1780324558. The cubic root of 104738400 is about 471.3772789531.

Subtracting from 104738400 its reverse (4837401), we obtain a palindrome (99900999).

The spelling of 104738400 in words is "one hundred four million, seven hundred thirty-eight thousand, four hundred".