104432000 has 128 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 40704000.

The previous prime is 104431991. The next prime is 104432017. The reversal of 104432000 is 234401.

It is a tau number, because it is divible by the number of its divisors (128).

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, 975947 + ... + 976053.

Almost surely, 2^104432000 is an apocalyptic number.

104432000 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 104432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

104432000 is an abundant number, since it is smaller than the sum of its proper divisors (161934880).

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

104432000 is an equidigital number, since it uses as much as digits as its factorization.

104432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 104432000 is about 10219.1976201657. The cubic root of 104432000 is about 470.9171768787.

Adding to 104432000 its reverse (234401), we get a palindrome (104666401).

The spelling of 104432000 in words is "one hundred four million, four hundred thirty-two thousand".