10106417 has 2 divisors, whose sum is σ = 10106418. Its totient is φ = 10106416.

The previous prime is 10106401. The next prime is 10106431. The reversal of 10106417 is 71460101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7134241 + 2972176 = 2671^2 + 1724^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106417 - 2⁴ = 10106401 is a prime.

It is equal to p₆₇₁₂₀₄ and since 10106417 and 671204 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10106477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053208 + 5053209.

It is an arithmetic number, because the mean of its divisors is an integer number (5053209).

Almost surely, 2^10106417 is an apocalyptic number.

It is an amenable number.

10106417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106417 is an equidigital number, since it uses as much as digits as its factorization.

10106417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10106417 is about 3179.0591375437. The cubic root of 10106417 is about 216.2050022761.

Adding to 10106417 its reverse (71460101), we get a palindrome (81566518).

The spelling of 10106417 in words is "ten million, one hundred six thousand, four hundred seventeen".