104589072 has 240 divisors, whose sum is σ = 363151360. Its totient is φ = 27433728.

The previous prime is 104589061. The next prime is 104589103. The reversal of 104589072 is 270985401.

104589072 is a `hidden beast` number, since 1 + 0 + 4 + 589 + 0 + 72 = 666.

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 47 ways as a sum of consecutive naturals, for example, 823473 + ... + 823599.

Almost surely, 2^104589072 is an apocalyptic number.

104589072 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 104589072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181575680).

104589072 is an abundant number, since it is smaller than the sum of its proper divisors (258562288).

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

104589072 is a wasteful number, since it uses less digits than its factorization.

104589072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104589072 is about 10226.8798760912. The cubic root of 104589072 is about 471.1531545155.

The spelling of 104589072 in words is "one hundred four million, five hundred eighty-nine thousand, seventy-two".