105813713 has 2 divisors, whose sum is σ = 105813714. Its totient is φ = 105813712.

The previous prime is 105813689. The next prime is 105813737. The reversal of 105813713 is 317318501.

It is a balanced prime because it is at equal distance from previous prime (105813689) and next prime (105813737).

It can be written as a sum of positive squares in only one way, i.e., 57274624 + 48539089 = 7568^2 + 6967^2 .

It is a cyclic number.

It is not a de Polignac number, because 105813713 - 2¹⁸ = 105551569 is a prime.

It is a super-3 number, since 3×105813713³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105813913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52906856 + 52906857.

It is an arithmetic number, because the mean of its divisors is an integer number (52906857).

Almost surely, 2^105813713 is an apocalyptic number.

It is an amenable number.

105813713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105813713 is an equidigital number, since it uses as much as digits as its factorization.

105813713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105813713 is about 10286.5792662090. The cubic root of 105813713 is about 472.9849455940.

The spelling of 105813713 in words is "one hundred five million, eight hundred thirteen thousand, seven hundred thirteen".