105680100017 has 2 divisors, whose sum is σ = 105680100018. Its totient is φ = 105680100016.

The previous prime is 105680099989. The next prime is 105680100047. The reversal of 105680100017 is 710001086501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105422946721 + 257153296 = 324689^2 + 16036^2 .

It is a cyclic number.

It is not a de Polignac number, because 105680100017 - 2¹² = 105680095921 is a prime.

It is a super-2 number, since 2×105680100017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105680100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52840050008 + 52840050009.

It is an arithmetic number, because the mean of its divisors is an integer number (52840050009).

Almost surely, 2^105680100017 is an apocalyptic number.

It is an amenable number.

105680100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105680100017 is an equidigital number, since it uses as much as digits as its factorization.

105680100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 29.

Adding to 105680100017 its reverse (710001086501), we get a palindrome (815681186518).

The spelling of 105680100017 in words is "one hundred five billion, six hundred eighty million, one hundred thousand, seventeen".