103085681957 has 2 divisors, whose sum is σ = 103085681958. Its totient is φ = 103085681956.

The previous prime is 103085681939. The next prime is 103085681977. The reversal of 103085681957 is 759186580301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94904660356 + 8181021601 = 308066^2 + 90449^2 .

It is a cyclic number.

It is not a de Polignac number, because 103085681957 - 2⁶ = 103085681893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103085681899 and 103085681908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103085681977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51542840978 + 51542840979.

It is an arithmetic number, because the mean of its divisors is an integer number (51542840979).

Almost surely, 2^103085681957 is an apocalyptic number.

It is an amenable number.

103085681957 is a deficient number, since it is larger than the sum of its proper divisors (1).

103085681957 is an equidigital number, since it uses as much as digits as its factorization.

103085681957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 103085681957 in words is "one hundred three billion, eighty-five million, six hundred eighty-one thousand, nine hundred fifty-seven".