106665617 has 2 divisors, whose sum is σ = 106665618. Its totient is φ = 106665616.

The previous prime is 106665593. The next prime is 106665619. The reversal of 106665617 is 716566601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100320256 + 6345361 = 10016^2 + 2519^2 .

It is a cyclic number.

It is not a de Polignac number, because 106665617 - 2²⁰ = 105617041 is a prime.

It is a super-2 number, since 2×106665617² = 22755107699981378, which contains 22 as substring.

Together with 106665619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106665619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53332808 + 53332809.

It is an arithmetic number, because the mean of its divisors is an integer number (53332809).

Almost surely, 2^106665617 is an apocalyptic number.

It is an amenable number.

106665617 is a deficient number, since it is larger than the sum of its proper divisors (1).

106665617 is an equidigital number, since it uses as much as digits as its factorization.

106665617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 106665617 is about 10327.9047729924. The cubic root of 106665617 is about 474.2508849468.

The spelling of 106665617 in words is "one hundred six million, six hundred sixty-five thousand, six hundred seventeen".