105102017 has 2 divisors, whose sum is σ = 105102018. Its totient is φ = 105102016.

The previous prime is 105101989. The next prime is 105102031. The reversal of 105102017 is 710201501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63744256 + 41357761 = 7984^2 + 6431^2 .

It is a cyclic number.

It is not a de Polignac number, because 105102017 - 2¹⁰ = 105100993 is a prime.

It is a super-2 number, since 2×105102017² = 22092867954936578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105101986 and 105102004.

It is not a weakly prime, because it can be changed into another prime (105102037) 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, 52551008 + 52551009.

It is an arithmetic number, because the mean of its divisors is an integer number (52551009).

Almost surely, 2^105102017 is an apocalyptic number.

It is an amenable number.

105102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105102017 is an equidigital number, since it uses as much as digits as its factorization.

105102017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 105102017 is about 10251.9274773088. The cubic root of 105102017 is about 471.9221374603.

Adding to 105102017 its reverse (710201501), we get a palindrome (815303518).

The spelling of 105102017 in words is "one hundred five million, one hundred two thousand, seventeen".