104384000 has 160 divisors (see below), whose sum is σ = 298748736. Its totient is φ = 35635200.

The previous prime is 104383949. The next prime is 104384017. The reversal of 104384000 is 483401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 447884 + ... + 448116.

Almost surely, 2^104384000 is an apocalyptic number.

104384000 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 104384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

104384000 is an abundant number, since it is smaller than the sum of its proper divisors (194364736).

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

104384000 is an frugal number, since it uses more digits than its factorization.

104384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104384000 is about 10216.8488292624. The cubic root of 104384000 is about 470.8450167218.

The spelling of 104384000 in words is "one hundred four million, three hundred eighty-four thousand".