106366289 has 2 divisors, whose sum is σ = 106366290. Its totient is φ = 106366288.

The previous prime is 106366241. The next prime is 106366291. The reversal of 106366289 is 982663601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97318225 + 9048064 = 9865^2 + 3008^2 .

It is an emirp because it is prime and its reverse (982663601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106366289 - 2⁸ = 106366033 is a prime.

It is a super-2 number, since 2×106366289² = 22627574871263042, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 106366291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106366189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53183144 + 53183145.

It is an arithmetic number, because the mean of its divisors is an integer number (53183145).

Almost surely, 2^106366289 is an apocalyptic number.

It is an amenable number.

106366289 is a deficient number, since it is larger than the sum of its proper divisors (1).

106366289 is an equidigital number, since it uses as much as digits as its factorization.

106366289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 106366289 is about 10313.4033664935. The cubic root of 106366289 is about 473.8068506904.

The spelling of 106366289 in words is "one hundred six million, three hundred sixty-six thousand, two hundred eighty-nine".