105455017 has 2 divisors, whose sum is σ = 105455018. Its totient is φ = 105455016.

The previous prime is 105454957. The next prime is 105455039. The reversal of 105455017 is 710554501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105247081 + 207936 = 10259^2 + 456^2 .

It is a cyclic number.

It is not a de Polignac number, because 105455017 - 2¹¹ = 105452969 is a prime.

It is a super-2 number, since 2×105455017² = 22241521220940578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105455617) 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, 52727508 + 52727509.

It is an arithmetic number, because the mean of its divisors is an integer number (52727509).

Almost surely, 2^105455017 is an apocalyptic number.

It is an amenable number.

105455017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105455017 is an equidigital number, since it uses as much as digits as its factorization.

105455017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 105455017 is about 10269.1293204439. The cubic root of 105455017 is about 472.4498861588.

The spelling of 105455017 in words is "one hundred five million, four hundred fifty-five thousand, seventeen".