103323113202205 has 128 divisors (see below), whose sum is σ = 145520479843200. Its totient is φ = 69985194393600.

The previous prime is 103323113202187. The next prime is 103323113202241. The reversal of 103323113202205 is 502202311323301.

It can be written as a sum of positive squares in 64 ways, for example, as 101658298465476 + 1664814736729 = 10082574^2 + 1290277^2 .

It is not a de Polignac number, because 103323113202205 - 2³⁷ = 103185674248733 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2123300575 + ... + 2123349235.

It is an arithmetic number, because the mean of its divisors is an integer number (1136878748775).

Almost surely, 2^{103323113202205} is an apocalyptic number.

It is an amenable number.

103323113202205 is a deficient number, since it is larger than the sum of its proper divisors (42197366640995).

103323113202205 is a wasteful number, since it uses less digits than its factorization.

103323113202205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48900 (or 48866 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 103323113202205 its reverse (502202311323301), we get a palindrome (605525424525506).

The spelling of 103323113202205 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred thirteen million, two hundred two thousand, two hundred five".