105745417 has 2 divisors, whose sum is σ = 105745418. Its totient is φ = 105745416.

The previous prime is 105745399. The next prime is 105745447. The reversal of 105745417 is 714547501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 30680521 = 8664^2 + 5539^2 .

It is a cyclic number.

It is not a de Polignac number, because 105745417 - 2¹¹ = 105743369 is a prime.

It is a super-2 number, since 2×105745417² = 22364186433007778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105745447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52872708 + 52872709.

It is an arithmetic number, because the mean of its divisors is an integer number (52872709).

Almost surely, 2^105745417 is an apocalyptic number.

It is an amenable number.

105745417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105745417 is an equidigital number, since it uses as much as digits as its factorization.

105745417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 105745417 is about 10283.2590651019. The cubic root of 105745417 is about 472.8831631588.

The spelling of 105745417 in words is "one hundred five million, seven hundred forty-five thousand, four hundred seventeen".