105358313 has 2 divisors, whose sum is σ = 105358314. Its totient is φ = 105358312.

The previous prime is 105358307. The next prime is 105358369. The reversal of 105358313 is 313853501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78287104 + 27071209 = 8848^2 + 5203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105358313 is a prime.

It is a super-2 number, since 2×105358313² = 22200748236411938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105358373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52679156 + 52679157.

It is an arithmetic number, because the mean of its divisors is an integer number (52679157).

Almost surely, 2^105358313 is an apocalyptic number.

It is an amenable number.

105358313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105358313 is an equidigital number, since it uses as much as digits as its factorization.

105358313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105358313 is about 10264.4197595383. The cubic root of 105358313 is about 472.3054271983.

The spelling of 105358313 in words is "one hundred five million, three hundred fifty-eight thousand, three hundred thirteen".