103106313 has 6 divisors (see below), whose sum is σ = 148931354. Its totient is φ = 68737536.

The previous prime is 103106299. The next prime is 103106317. The reversal of 103106313 is 313601301.

103106313 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 631 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66781584 + 36324729 = 8172^2 + 6027^2 .

It is not a de Polignac number, because 103106313 - 2⁶ = 103106249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103106317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5728120 + ... + 5728137.

Almost surely, 2^103106313 is an apocalyptic number.

It is an amenable number.

103106313 is a deficient number, since it is larger than the sum of its proper divisors (45825041).

103106313 is a wasteful number, since it uses less digits than its factorization.

103106313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456263 (or 11456260 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 103106313 is about 10154.1278798329. The cubic root of 103106313 is about 468.9160367542.

Adding to 103106313 its reverse (313601301), we get a palindrome (416707614).

The spelling of 103106313 in words is "one hundred three million, one hundred six thousand, three hundred thirteen".