109638134297329 has 9 divisors (see below), whose sum is σ = 120511464300619. Its totient is φ = 99670926471160.

The previous prime is 109638134297323. The next prime is 109638134297333. The reversal of 109638134297329 is 923792431836901.

The square root of 109638134297329 is 10470823.

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., 34529080061025 + 75109054236304 = 5876145^2 + 8666548^2 .

It is not a de Polignac number, because 109638134297329 - 2⁷ = 109638134297201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109638134297323) 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, 114703107 + ... + 115654999.

Almost surely, 2^{109638134297329} is an apocalyptic number.

109638134297329 is the 10470823-rd square number.

109638134297329 is the 5235412-nd centered octagonal number.

It is an amenable number.

109638134297329 is a deficient number, since it is larger than the sum of its proper divisors (10873330003290).

109638134297329 is an frugal number, since it uses more digits than its factorization.

109638134297329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903808 (or 951904 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 67.

The spelling of 109638134297329 in words is "one hundred nine trillion, six hundred thirty-eight billion, one hundred thirty-four million, two hundred ninety-seven thousand, three hundred twenty-nine".