10106017 has 2 divisors, whose sum is σ = 10106018. Its totient is φ = 10106016.

The previous prime is 10105961. The next prime is 10106021. The reversal of 10106017 is 71060101.

10106017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 126736 = 3159^2 + 356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10106077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053008 + 5053009.

It is an arithmetic number, because the mean of its divisors is an integer number (5053009).

Almost surely, 2^10106017 is an apocalyptic number.

It is an amenable number.

10106017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106017 is an equidigital number, since it uses as much as digits as its factorization.

10106017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 10106017 is about 3178.9962252258. The cubic root of 10106017 is about 216.2021498593.

Adding to 10106017 its reverse (71060101), we get a palindrome (81166118).

The spelling of 10106017 in words is "ten million, one hundred six thousand, seventeen".