104032000 has 72 divisors (see below), whose sum is σ = 259236432. Its totient is φ = 41600000.

The previous prime is 104031971. The next prime is 104032003. The reversal of 104032000 is 230401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30375 + ... + 33625.

It is an arithmetic number, because the mean of its divisors is an integer number (3600506).

Almost surely, 2^104032000 is an apocalyptic number.

104032000 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 104032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129618216).

104032000 is an abundant number, since it is smaller than the sum of its proper divisors (155204432).

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

104032000 is an frugal number, since it uses more digits than its factorization.

104032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 104032000 is about 10199.6078355984. The cubic root of 104032000 is about 470.3151651045.

Adding to 104032000 its reverse (230401), we get a palindrome (104262401).

It can be divided in two parts, 10403 and 2000, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 104032000 in words is "one hundred four million, thirty-two thousand".