2010106817 has 2 divisors, whose sum is σ = 2010106818. Its totient is φ = 2010106816.

The previous prime is 2010106759. The next prime is 2010106849. The reversal of 2010106817 is 7186010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1091046961 + 919059856 = 33031^2 + 30316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010106817 - 2⁸ = 2010106561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010106897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005053408 + 1005053409.

It is an arithmetic number, because the mean of its divisors is an integer number (1005053409).

Almost surely, 2^2010106817 is an apocalyptic number.

It is an amenable number.

2010106817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010106817 is an equidigital number, since it uses as much as digits as its factorization.

2010106817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 2010106817 is about 44834.2148029828. The cubic root of 2010106817 is about 1262.0397835314.

Adding to 2010106817 its reverse (7186010102), we get a palindrome (9196116919).

The spelling of 2010106817 in words is "two billion, ten million, one hundred six thousand, eight hundred seventeen".