104400413 has 8 divisors (see below), whose sum is σ = 112925400. Its totient is φ = 95946048.

The previous prime is 104400397. The next prime is 104400437. The reversal of 104400413 is 314004401.

It can be written as a sum of positive squares in 4 ways, for example, as 53392249 + 51008164 = 7307^2 + 7142^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104400413 - 2⁴ = 104400397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104400391 and 104400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104400613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14558 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (14115675).

Almost surely, 2^104400413 is an apocalyptic number.

104400413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104400413 is a deficient number, since it is larger than the sum of its proper divisors (8524987).

104400413 is a wasteful number, since it uses less digits than its factorization.

104400413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35311.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104400413 is about 10217.6520296984. The cubic root of 104400413 is about 470.8696934738.

Adding to 104400413 its reverse (314004401), we get a palindrome (418404814).

The spelling of 104400413 in words is "one hundred four million, four hundred thousand, four hundred thirteen".