104448000 has 240 divisors, whose sum is σ = 368038944. Its totient is φ = 26214400.

The previous prime is 104447999. The next prime is 104448031. The reversal of 104448000 is 844401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143992 + ... + 6144008.

Almost surely, 2^104448000 is an apocalyptic number.

104448000 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 104448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019472).

104448000 is an abundant number, since it is smaller than the sum of its proper divisors (263590944).

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

104448000 is an frugal number, since it uses more digits than its factorization.

104448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 104448000 is about 10219.9804305096. The cubic root of 104448000 is about 470.9412253507.

The spelling of 104448000 in words is "one hundred four million, four hundred forty-eight thousand".