106911 has 12 divisors (see below), whose sum is σ = 176592. Its totient is φ = 61056.

The previous prime is 106907. The next prime is 106921. The reversal of 106911 is 119601.

It is not a de Polignac number, because 106911 - 2² = 106907 is a prime.

It is a super-2 number, since 2×106911² = 22859923842, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106911.

It is not an unprimeable number, because it can be changed into a prime (106921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (14716).

2¹⁰⁶⁹¹¹ is an apocalyptic number.

106911 is a deficient number, since it is larger than the sum of its proper divisors (69681).

106911 is a wasteful number, since it uses less digits than its factorization.

106911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 106911 is about 326.9724759058. The cubic root of 106911 is about 47.4614275962.

Adding to 106911 its sum of digits (18), we get a square (106929 = 327²).

The spelling of 106911 in words is "one hundred six thousand, nine hundred eleven".