104416289 has 2 divisors, whose sum is σ = 104416290. Its totient is φ = 104416288.

The previous prime is 104416243. The next prime is 104416303. The reversal of 104416289 is 982614401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96687889 + 7728400 = 9833^2 + 2780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104416289 is a prime.

It is a super-2 number, since 2×104416289² = 21805522817063042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (104416219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52208144 + 52208145.

It is an arithmetic number, because the mean of its divisors is an integer number (52208145).

Almost surely, 2^104416289 is an apocalyptic number.

It is an amenable number.

104416289 is a deficient number, since it is larger than the sum of its proper divisors (1).

104416289 is an equidigital number, since it uses as much as digits as its factorization.

104416289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 104416289 is about 10218.4288909793. The cubic root of 104416289 is about 470.8935603920.

The spelling of 104416289 in words is "one hundred four million, four hundred sixteen thousand, two hundred eighty-nine".