104032512 has 180 divisors, whose sum is σ = 322757820. Its totient is φ = 33288192.

The previous prime is 104032501. The next prime is 104032529. The reversal of 104032512 is 215230401.

104032512 is a `hidden beast` number, since 10 + 403 + 251 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 26873856 = 8784^2 + 5184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601258 + ... + 601430.

It is an arithmetic number, because the mean of its divisors is an integer number (1793099).

Almost surely, 2^104032512 is an apocalyptic number.

104032512 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 104032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161378910).

104032512 is an abundant number, since it is smaller than the sum of its proper divisors (218725308).

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

104032512 is an equidigital number, since it uses as much as digits as its factorization.

104032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104032512 is about 10199.6329345717. The cubic root of 104032512 is about 470.3159366651.

Adding to 104032512 its reverse (215230401), we get a palindrome (319262913).

The spelling of 104032512 in words is "one hundred four million, thirty-two thousand, five hundred twelve".