2105534510017 has 2 divisors, whose sum is σ = 2105534510018. Its totient is φ = 2105534510016.

The previous prime is 2105534510011. The next prime is 2105534510063. The reversal of 2105534510017 is 7100154355012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2098256543296 + 7277966721 = 1448536^2 + 85311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105534510017 - 2⁷ = 2105534509889 is a prime.

It is a super-3 number, since 3×2105534510017³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2105534510011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052767255008 + 1052767255009.

It is an arithmetic number, because the mean of its divisors is an integer number (1052767255009).

Almost surely, 2^{2105534510017} is an apocalyptic number.

It is an amenable number.

2105534510017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105534510017 is an equidigital number, since it uses as much as digits as its factorization.

2105534510017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21000, while the sum is 34.

Adding to 2105534510017 its reverse (7100154355012), we get a palindrome (9205688865029).

The spelling of 2105534510017 in words is "two trillion, one hundred five billion, five hundred thirty-four million, five hundred ten thousand, seventeen".