104208768 has 240 divisors, whose sum is σ = 341256300. Its totient is φ = 31477248.

The previous prime is 104208751. The next prime is 104208773. The reversal of 104208768 is 867802401.

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4530805 + ... + 4530827.

Almost surely, 2^104208768 is an apocalyptic number.

104208768 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 104208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170628150).

104208768 is an abundant number, since it is smaller than the sum of its proper divisors (237047532).

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

104208768 is an equidigital number, since it uses as much as digits as its factorization.

104208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104208768 is about 10208.2695889166. The cubic root of 104208768 is about 470.5813960967.

It can be divided in two parts, 104208 and 768, that added together give a 4-th power (104976 = 18⁴).

The spelling of 104208768 in words is "one hundred four million, two hundred eight thousand, seven hundred sixty-eight".