105701017 has 2 divisors, whose sum is σ = 105701018. Its totient is φ = 105701016.

The previous prime is 105701003. The next prime is 105701023. The reversal of 105701017 is 710107501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57592921 + 48108096 = 7589^2 + 6936^2 .

It is a cyclic number.

It is not a de Polignac number, because 105701017 - 2¹⁵ = 105668249 is a prime.

It is a super-2 number, since 2×105701017² = 22345409989668578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105702017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52850508 + 52850509.

It is an arithmetic number, because the mean of its divisors is an integer number (52850509).

Almost surely, 2^105701017 is an apocalyptic number.

It is an amenable number.

105701017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105701017 is an equidigital number, since it uses as much as digits as its factorization.

105701017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 105701017 is about 10281.0999897871. The cubic root of 105701017 is about 472.8169697410.

Adding to 105701017 its reverse (710107501), we get a palindrome (815808518).

The spelling of 105701017 in words is "one hundred five million, seven hundred one thousand, seventeen".