111106 has 8 divisors (see below), whose sum is σ = 169164. Its totient is φ = 54720.

The previous prime is 111103. The next prime is 111109. The reversal of 111106 is 601111.

111106 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (111103) and next prime (111109).

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 11881 = 315^2 + 109^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 111092 and 111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235 + ... + 526.

2¹¹¹¹⁰⁶ is an apocalyptic number.

111106 is a deficient number, since it is larger than the sum of its proper divisors (58058).

111106 is an equidigital number, since it uses as much as digits as its factorization.

111106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836.

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

The square root of 111106 is about 333.3256665785. The cubic root of 111106 is about 48.0742485158.

Adding to 111106 its reverse (601111), we get a palindrome (712217).

The spelling of 111106 in words is "one hundred eleven thousand, one hundred six".