103653734209 has 9 divisors (see below), whose sum is σ = 104312403849. Its totient is φ = 102999203760.

The previous prime is 103653734207. The next prime is 103653734251. The reversal of 103653734209 is 902437356301.

It is a happy number.

The square root of 103653734209 is 321953.

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 7509089025 + 96144645184 = 86655^2 + 310072^2 .

It is not a de Polignac number, because 103653734209 - 2¹ = 103653734207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103653734207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55696939 + ... + 55698799.

Almost surely, 2^103653734209 is an apocalyptic number.

103653734209 is the 321953-rd square number.

103653734209 is the 160977-th centered octagonal number.

It is an amenable number.

103653734209 is a deficient number, since it is larger than the sum of its proper divisors (658669640).

103653734209 is an frugal number, since it uses more digits than its factorization.

103653734209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 103653734209 in words is "one hundred three billion, six hundred fifty-three million, seven hundred thirty-four thousand, two hundred nine".