103968013 has 2 divisors, whose sum is σ = 103968014. Its totient is φ = 103968012.

The previous prime is 103968001. The next prime is 103968037. The reversal of 103968013 is 310869301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90878089 + 13089924 = 9533^2 + 3618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103968013 is a prime.

It is a super-3 number, since 3×103968013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103960013) 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, 51984006 + 51984007.

It is an arithmetic number, because the mean of its divisors is an integer number (51984007).

Almost surely, 2^103968013 is an apocalyptic number.

It is an amenable number.

103968013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103968013 is an equidigital number, since it uses as much as digits as its factorization.

103968013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 103968013 is about 10196.4706148745. The cubic root of 103968013 is about 470.2187196884.

The spelling of 103968013 in words is "one hundred three million, nine hundred sixty-eight thousand, thirteen".