105371713 has 2 divisors, whose sum is σ = 105371714. Its totient is φ = 105371712.

The previous prime is 105371711. The next prime is 105371723. The reversal of 105371713 is 317173501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58476609 + 46895104 = 7647^2 + 6848^2 .

It is a cyclic number.

It is not a de Polignac number, because 105371713 - 2¹ = 105371711 is a prime.

It is a super-2 number, since 2×105371713² = 22206395801108738, which contains 22 as substring.

Together with 105371711, it forms a pair of twin primes.

It is equal to p_6052825 and since 105371713 and 6052825 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 (105371711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52685856 + 52685857.

It is an arithmetic number, because the mean of its divisors is an integer number (52685857).

Almost surely, 2^105371713 is an apocalyptic number.

It is an amenable number.

105371713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105371713 is an equidigital number, since it uses as much as digits as its factorization.

105371713 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 105371713 is about 10265.0724790427. The cubic root of 105371713 is about 472.3254497425.

The spelling of 105371713 in words is "one hundred five million, three hundred seventy-one thousand, seven hundred thirteen".