105402313 has 2 divisors, whose sum is σ = 105402314. Its totient is φ = 105402312.

The previous prime is 105402293. The next prime is 105402317. The reversal of 105402313 is 313204501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57957769 + 47444544 = 7613^2 + 6888^2 .

It is a cyclic number.

It is not a de Polignac number, because 105402313 - 2¹⁷ = 105271241 is a prime.

It is a super-2 number, since 2×105402313² = 22219295171499938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105402317) 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, 52701156 + 52701157.

It is an arithmetic number, because the mean of its divisors is an integer number (52701157).

Almost surely, 2^105402313 is an apocalyptic number.

It is an amenable number.

105402313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105402313 is an equidigital number, since it uses as much as digits as its factorization.

105402313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105402313 is about 10266.5628620293. The cubic root of 105402313 is about 472.3711665024.

Adding to 105402313 its reverse (313204501), we get a palindrome (418606814).

The spelling of 105402313 in words is "one hundred five million, four hundred two thousand, three hundred thirteen".