104384401 has 24 divisors (see below), whose sum is σ = 120054312. Its totient is φ = 90604800.

The previous prime is 104384389. The next prime is 104384417. The reversal of 104384401 is 104483401.

It can be written as a sum of positive squares in 4 ways, for example, as 9828225 + 94556176 = 3135^2 + 9724^2 .

It is not a de Polignac number, because 104384401 - 2⁹ = 104383889 is a prime.

It is a super-2 number, since 2×104384401² = 21792206344257602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104384801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 262735 + ... + 263131.

It is an arithmetic number, because the mean of its divisors is an integer number (5002263).

Almost surely, 2^104384401 is an apocalyptic number.

104384401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104384401 is a deficient number, since it is larger than the sum of its proper divisors (15669911).

104384401 is a wasteful number, since it uses less digits than its factorization.

104384401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 104384401 is about 10216.8684536897. The cubic root of 104384401 is about 470.8456196514.

The spelling of 104384401 in words is "one hundred four million, three hundred eighty-four thousand, four hundred one".