105744017 has 2 divisors, whose sum is σ = 105744018. Its totient is φ = 105744016.

The previous prime is 105744013. The next prime is 105744047. The reversal of 105744017 is 710447501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64899136 + 40844881 = 8056^2 + 6391^2 .

It is an emirp because it is prime and its reverse (710447501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105744017 - 2² = 105744013 is a prime.

It is a super-2 number, since 2×105744017² = 22363594262592578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105744013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52872008 + 52872009.

It is an arithmetic number, because the mean of its divisors is an integer number (52872009).

Almost surely, 2^105744017 is an apocalyptic number.

It is an amenable number.

105744017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105744017 is an equidigital number, since it uses as much as digits as its factorization.

105744017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 105744017 is about 10283.1909930721. The cubic root of 105744017 is about 472.8810762619.

The spelling of 105744017 in words is "one hundred five million, seven hundred forty-four thousand, seventeen".