104188032 has 160 divisors (see below), whose sum is σ = 334344780. Its totient is φ = 32016384.

The previous prime is 104188031. The next prime is 104188033. The reversal of 104188032 is 230881401.

It is an interprime number because it is at equal distance from previous prime (104188031) and next prime (104188033).

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 20575296 = 9144^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104187987 and 104188005.

It is not an unprimeable number, because it can be changed into a prime (104188031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134398 + ... + 135170.

Almost surely, 2^104188032 is an apocalyptic number.

104188032 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 104188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167172390).

104188032 is an abundant number, since it is smaller than the sum of its proper divisors (230156748).

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

104188032 is an equidigital number, since it uses as much as digits as its factorization.

104188032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 791 counting only the distinct ones).

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

The square root of 104188032 is about 10207.2538912285. The cubic root of 104188032 is about 470.5501811189.

The spelling of 104188032 in words is "one hundred four million, one hundred eighty-eight thousand, thirty-two".