104400000 has 288 divisors, whose sum is σ = 388451700. Its totient is φ = 26880000.

The previous prime is 104399993. The next prime is 104400011. The reversal of 104400000 is 4401.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 92621376 = 3432^2 + 9624^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599986 + ... + 3600014.

Almost surely, 2^104400000 is an apocalyptic number.

104400000 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 104400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194225850).

104400000 is an abundant number, since it is smaller than the sum of its proper divisors (284051700).

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

104400000 is an frugal number, since it uses more digits than its factorization.

104400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104400000 is about 10217.6318195558. The cubic root of 104400000 is about 470.8690725649.

Adding to 104400000 its reverse (4401), we get a palindrome (104404401).

The spelling of 104400000 in words is "one hundred four million, four hundred thousand".