103205105137 has 2 divisors, whose sum is σ = 103205105138. Its totient is φ = 103205105136.

The previous prime is 103205105117. The next prime is 103205105149. The reversal of 103205105137 is 731501502301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102364163136 + 840942001 = 319944^2 + 28999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103205105137 is a prime.

It is not a weakly prime, because it can be changed into another prime (103205105117) 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 as a sum of consecutive naturals, namely, 51602552568 + 51602552569.

It is an arithmetic number, because the mean of its divisors is an integer number (51602552569).

Almost surely, 2^103205105137 is an apocalyptic number.

It is an amenable number.

103205105137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103205105137 is an equidigital number, since it uses as much as digits as its factorization.

103205105137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

Adding to 103205105137 its reverse (731501502301), we get a palindrome (834706607438).

The spelling of 103205105137 in words is "one hundred three billion, two hundred five million, one hundred five thousand, one hundred thirty-seven".