106111 has 4 divisors (see below), whose sum is σ = 109800. Its totient is φ = 102424.

The previous prime is 106109. The next prime is 106121. The reversal of 106111 is 111601.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 106111 - 2¹ = 106109 is a prime.

It is a super-2 number, since 2×106111² = 22519088642, which contains 22 as substring.

It is a Duffinian number.

106111 is a modest number, since divided by 111 gives 106 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1801 + ... + 1858.

It is an arithmetic number, because the mean of its divisors is an integer number (27450).

2¹⁰⁶¹¹¹ is an apocalyptic number.

106111 is a deficient number, since it is larger than the sum of its proper divisors (3689).

106111 is an equidigital number, since it uses as much as digits as its factorization.

106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 106111 is about 325.7468342133. The cubic root of 106111 is about 47.3427486836.

Adding to 106111 its reverse (111601), we get a palindrome (217712).

The spelling of 106111 in words is "one hundred six thousand, one hundred eleven".