106106111 has 2 divisors, whose sum is σ = 106106112. Its totient is φ = 106106110.

The previous prime is 106106101. The next prime is 106106113. The reversal of 106106111 is 111601601.

It is a strong prime.

It is an emirp because it is prime and its reverse (111601601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106106111 - 2¹⁴ = 106089727 is a prime.

It is a super-2 number, since 2×106106111² = 22517013583088642, which contains 22 as substring.

Together with 106106113, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106106111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106106113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53053055 + 53053056.

It is an arithmetic number, because the mean of its divisors is an integer number (53053056).

Almost surely, 2^106106111 is an apocalyptic number.

106106111 is a deficient number, since it is larger than the sum of its proper divisors (1).

106106111 is an equidigital number, since it uses as much as digits as its factorization.

106106111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 106106111 is about 10300.7820576886. The cubic root of 106106111 is about 473.4202157624.

Adding to 106106111 its reverse (111601601), we get a palindrome (217707712).

The spelling of 106106111 in words is "one hundred six million, one hundred six thousand, one hundred eleven".