103885078914409 has 27 divisors (see below), whose sum is σ = 112898596951557. Its totient is φ = 95547662683200.

The previous prime is 103885078914347. The next prime is 103885078914433. The reversal of 103885078914409 is 904419870588301.

The square root of 103885078914409 is 10192403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86382804235225 + 17502274679184 = 9294235^2 + 4183572^2 .

It is not a de Polignac number, because 103885078914409 - 2⁹ = 103885078913897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103885018914409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41207884069 + ... + 41207886589.

Almost surely, 2^{103885078914409} is an apocalyptic number.

103885078914409 is the 10192403-rd square number.

103885078914409 is the 5096202-nd centered octagonal number.

It is an amenable number.

103885078914409 is a deficient number, since it is larger than the sum of its proper divisors (9013518037148).

103885078914409 is an frugal number, since it uses more digits than its factorization.

103885078914409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 103885078914409 in words is "one hundred three trillion, eight hundred eighty-five billion, seventy-eight million, nine hundred fourteen thousand, four hundred nine".