105771313 has 2 divisors, whose sum is σ = 105771314. Its totient is φ = 105771312.

The previous prime is 105771307. The next prime is 105771329. The reversal of 105771313 is 313177501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61575409 + 44195904 = 7847^2 + 6648^2 .

It is a cyclic number.

It is not a de Polignac number, because 105771313 - 2¹³ = 105763121 is a prime.

It is a super-2 number, since 2×105771313² = 22375141307487938, which contains 22 as substring.

It is equal to p_6074416 and since 105771313 and 6074416 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105771383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52885656 + 52885657.

It is an arithmetic number, because the mean of its divisors is an integer number (52885657).

Almost surely, 2^105771313 is an apocalyptic number.

It is an amenable number.

105771313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105771313 is an equidigital number, since it uses as much as digits as its factorization.

105771313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 105771313 is about 10284.5181219151. The cubic root of 105771313 is about 472.9217614680.

The spelling of 105771313 in words is "one hundred five million, seven hundred seventy-one thousand, three hundred thirteen".