103338345809209 has 9 divisors (see below), whose sum is σ = 120209995248591. Its totient is φ = 88575663986040.

The previous prime is 103338345809161. The next prime is 103338345809227. The reversal of 103338345809209 is 902908543833301.

The square root of 103338345809209 is 10165547.

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

It can be written as a sum of positive squares in only one way, i.e., 103282564816809 + 55780992400 = 10162803^2 + 236180^2 .

It is not a de Polignac number, because 103338345809209 - 2²¹ = 103338343712057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103338345806209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70432719 + ... + 71884939.

Almost surely, 2^{103338345809209} is an apocalyptic number.

103338345809209 is the 10165547-th square number.

103338345809209 is the 5082774-th centered octagonal number.

It is an amenable number.

103338345809209 is a deficient number, since it is larger than the sum of its proper divisors (16871649439382).

103338345809209 is an frugal number, since it uses more digits than its factorization.

103338345809209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904456 (or 1452228 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 103338345809209 in words is "one hundred three trillion, three hundred thirty-eight billion, three hundred forty-five million, eight hundred nine thousand, two hundred nine".