104284368 has 80 divisors (see below), whose sum is σ = 300744640. Its totient is φ = 34598016.

The previous prime is 104284351. The next prime is 104284373. The reversal of 104284368 is 863482401.

104284368 is a `hidden beast` number, since 10 + 4 + 284 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121830 + ... + 122682.

It is an arithmetic number, because the mean of its divisors is an integer number (3759308).

Almost surely, 2^104284368 is an apocalyptic number.

104284368 is a gapful number since it is divisible by the number (18) 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 104284368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150372320).

104284368 is an abundant number, since it is smaller than the sum of its proper divisors (196460272).

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

104284368 is a wasteful number, since it uses less digits than its factorization.

104284368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104284368 is about 10211.9717978459. The cubic root of 104284368 is about 470.6951656468.

The spelling of 104284368 in words is "one hundred four million, two hundred eighty-four thousand, three hundred sixty-eight".