104001408 has 160 divisors (see below), whose sum is σ = 353968560. Its totient is φ = 29693952.

The previous prime is 104001397. The next prime is 104001419. The reversal of 104001408 is 804100401.

It is an interprime number because it is at equal distance from previous prime (104001397) and next prime (104001419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71860 + ... + 73292.

Almost surely, 2^104001408 is an apocalyptic number.

104001408 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 104001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176984280).

104001408 is an abundant number, since it is smaller than the sum of its proper divisors (249967152).

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

104001408 is an equidigital number, since it uses as much as digits as its factorization.

104001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104001408 is about 10198.1080598315. The cubic root of 104001408 is about 470.2690597649.

Adding to 104001408 its reverse (804100401), we get a palindrome (908101809).

The spelling of 104001408 in words is "one hundred four million, one thousand, four hundred eight".