104832 has 96 divisors (see below), whose sum is σ = 371280. Its totient is φ = 27648.

The previous prime is 104831. The next prime is 104849. The reversal of 104832 is 238401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8058 + ... + 8070.

2¹⁰⁴⁸³² is an apocalyptic number.

104832 is a gapful number since it is divisible by the number (12) 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 104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640).

104832 is an abundant number, since it is smaller than the sum of its proper divisors (266448).

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

104832 is a wasteful number, since it uses less digits than its factorization.

104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104832 is about 323.7777015176. Note that the first 4 decimals coincide. The cubic root of 104832 is about 47.1517653374.

The spelling of 104832 in words is "one hundred four thousand, eight hundred thirty-two".