103636993329 has 9 divisors (see below), whose sum is σ = 149699274283. Its totient is φ = 69090685032.

The previous prime is 103636993319. The next prime is 103636993429. The reversal of 103636993329 is 923399636301.

It is a happy number.

The square root of 103636993329 is 321927.

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., 17377303329 + 86259690000 = 131823^2 + 293700^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 103636993329 - 2⁵ = 103636993297 is a prime.

It is a super-3 number, since 3×103636993329³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103636993309) 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, 912127 + ... + 1019435.

Almost surely, 2^103636993329 is an apocalyptic number.

103636993329 is the 321927-th square number.

103636993329 is the 160964-th centered octagonal number.

It is an amenable number.

103636993329 is a deficient number, since it is larger than the sum of its proper divisors (46062280954).

103636993329 is an frugal number, since it uses more digits than its factorization.

103636993329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214624 (or 107312 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 103636993329 in words is "one hundred three billion, six hundred thirty-six million, nine hundred ninety-three thousand, three hundred twenty-nine".