104358240 has 576 divisors, whose sum is σ = 465393600. Its totient is φ = 21676032.

The previous prime is 104358217. The next prime is 104358299. The reversal of 104358240 is 42853401.

104358240 is a `hidden beast` number, since 1 + 0 + 43 + 582 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598546 + ... + 3598574.

It is an arithmetic number, because the mean of its divisors is an integer number (807975).

Almost surely, 2^104358240 is an apocalyptic number.

104358240 is a gapful number since it is divisible by the number (10) 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 104358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232696800).

104358240 is an abundant number, since it is smaller than the sum of its proper divisors (361035360).

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

104358240 is a wasteful number, since it uses less digits than its factorization.

104358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104358240 is about 10215.5880887984. The cubic root of 104358240 is about 470.8062816490.

The spelling of 104358240 in words is "one hundred four million, three hundred fifty-eight thousand, two hundred forty".