105531313 has 2 divisors, whose sum is σ = 105531314. Its totient is φ = 105531312.

The previous prime is 105531299. The next prime is 105531317. The reversal of 105531313 is 313135501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74528689 + 31002624 = 8633^2 + 5568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105531313 is a prime.

It is a super-2 number, since 2×105531313² = 22273716047007938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105531317) 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, 52765656 + 52765657.

It is an arithmetic number, because the mean of its divisors is an integer number (52765657).

Almost surely, 2^105531313 is an apocalyptic number.

It is an amenable number.

105531313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105531313 is an equidigital number, since it uses as much as digits as its factorization.

105531313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 105531313 is about 10272.8434719896. The cubic root of 105531313 is about 472.5637968037.

Adding to 105531313 its reverse (313135501), we get a palindrome (418666814).

The spelling of 105531313 in words is "one hundred five million, five hundred thirty-one thousand, three hundred thirteen".