106566111 has 20 divisors (see below), whose sum is σ = 159685152. Its totient is φ = 70823808.

The previous prime is 106566091. The next prime is 106566121. The reversal of 106566111 is 111665601.

106566111 is a `hidden beast` number, since 1 + 0 + 656 + 6 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 106566111 - 2¹⁰ = 106565087 is a prime.

It is a super-2 number, since 2×106566111² = 22712672027328642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106566121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26730 + ... + 30456.

Almost surely, 2^106566111 is an apocalyptic number.

106566111 is a deficient number, since it is larger than the sum of its proper divisors (53119041).

106566111 is an equidigital number, since it uses as much as digits as its factorization.

106566111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106566111 is about 10323.0863117577. The cubic root of 106566111 is about 474.1033663370.

It can be divided in two parts, 1065 and 66111, that added together give a palindrome (67176).

The spelling of 106566111 in words is "one hundred six million, five hundred sixty-six thousand, one hundred eleven".