106589111 has 2 divisors, whose sum is σ = 106589112. Its totient is φ = 106589110.

The previous prime is 106589089. The next prime is 106589113. The reversal of 106589111 is 111985601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106589111 - 2⁶ = 106589047 is a prime.

It is a super-2 number, since 2×106589111² = 22722477167540642, which contains 22 as substring.

Together with 106589113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106589113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53294555 + 53294556.

It is an arithmetic number, because the mean of its divisors is an integer number (53294556).

Almost surely, 2^106589111 is an apocalyptic number.

106589111 is a deficient number, since it is larger than the sum of its proper divisors (1).

106589111 is an equidigital number, since it uses as much as digits as its factorization.

106589111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 32.

The square root of 106589111 is about 10324.2002595843. The cubic root of 106589111 is about 474.1374722171.

The spelling of 106589111 in words is "one hundred six million, five hundred eighty-nine thousand, one hundred eleven".