105300017 has 2 divisors, whose sum is σ = 105300018. Its totient is φ = 105300016.

The previous prime is 105300011. The next prime is 105300043. The reversal of 105300017 is 710003501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80209936 + 25090081 = 8956^2 + 5009^2 .

It is an emirp because it is prime and its reverse (710003501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105300017 - 2¹² = 105295921 is a prime.

It is a super-2 number, since 2×105300017² = 22176187160400578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105299968 and 105300004.

It is not a weakly prime, because it can be changed into another prime (105300011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650008 + 52650009.

It is an arithmetic number, because the mean of its divisors is an integer number (52650009).

Almost surely, 2^105300017 is an apocalyptic number.

It is an amenable number.

105300017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105300017 is an equidigital number, since it uses as much as digits as its factorization.

105300017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 105300017 is about 10261.5796542248. The cubic root of 105300017 is about 472.2183004016.

Adding to 105300017 its reverse (710003501), we get a palindrome (815303518).

The spelling of 105300017 in words is "one hundred five million, three hundred thousand, seventeen".