105050713 has 2 divisors, whose sum is σ = 105050714. Its totient is φ = 105050712.

The previous prime is 105050689. The next prime is 105050749. The reversal of 105050713 is 317050501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 2474329 = 10128^2 + 1573^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050713 - 2²¹ = 102953561 is a prime.

It is a super-2 number, since 2×105050713² = 22071304603616738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105056713) 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, 52525356 + 52525357.

It is an arithmetic number, because the mean of its divisors is an integer number (52525357).

Almost surely, 2^105050713 is an apocalyptic number.

It is an amenable number.

105050713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050713 is an equidigital number, since it uses as much as digits as its factorization.

105050713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 105050713 is about 10249.4250082627. The cubic root of 105050713 is about 471.8453376849.

The spelling of 105050713 in words is "one hundred five million, fifty thousand, seven hundred thirteen".