104180832 has 144 divisors (see below), whose sum is σ = 349719552. Its totient is φ = 28788480.

The previous prime is 104180827. The next prime is 104180833. The reversal of 104180832 is 238081401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 104180796 and 104180805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104180833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61663 + ... + 63329.

It is an arithmetic number, because the mean of its divisors is an integer number (2428608).

Almost surely, 2^104180832 is an apocalyptic number.

104180832 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 104180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174859776).

104180832 is an abundant number, since it is smaller than the sum of its proper divisors (245538720).

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

104180832 is a wasteful number, since it uses less digits than its factorization.

104180832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104180832 is about 10206.9011947799. The cubic root of 104180832 is about 470.5393416162.

The spelling of 104180832 in words is "one hundred four million, one hundred eighty thousand, eight hundred thirty-two".