104585472 has 72 divisors (see below), whose sum is σ = 309298080. Its totient is φ = 34859520.

The previous prime is 104585461. The next prime is 104585489. The reversal of 104585472 is 274585401.

104585472 is a `hidden beast` number, since 1 + 0 + 4 + 585 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 14477.

Almost surely, 2^104585472 is an apocalyptic number.

104585472 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 104585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154649040).

104585472 is an abundant number, since it is smaller than the sum of its proper divisors (204712608).

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

104585472 is an equidigital number, since it uses as much as digits as its factorization.

104585472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15156 (or 15136 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 104585472 is about 10226.7038678159. The cubic root of 104585472 is about 471.1477486900.

The spelling of 104585472 in words is "one hundred four million, five hundred eighty-five thousand, four hundred seventy-two".