105201017 has 2 divisors, whose sum is σ = 105201018. Its totient is φ = 105201016.

The previous prime is 105200989. The next prime is 105201029. The reversal of 105201017 is 710102501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54449641 + 50751376 = 7379^2 + 7124^2 .

It is a cyclic number.

It is not a de Polignac number, because 105201017 - 2⁸ = 105200761 is a prime.

It is a super-2 number, since 2×105201017² = 22134507955668578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105200986 and 105201004.

It is not a weakly prime, because it can be changed into another prime (105201097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600508 + 52600509.

It is an arithmetic number, because the mean of its divisors is an integer number (52600509).

Almost surely, 2^105201017 is an apocalyptic number.

It is an amenable number.

105201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105201017 is an equidigital number, since it uses as much as digits as its factorization.

105201017 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 105201017 is about 10256.7547011713. The cubic root of 105201017 is about 472.0702653819.

Adding to 105201017 its reverse (710102501), we get a palindrome (815303518).

The spelling of 105201017 in words is "one hundred five million, two hundred one thousand, seventeen".