110006 has 8 divisors (see below), whose sum is σ = 177744. Its totient is φ = 50760.

The previous prime is 109987. The next prime is 110017. The reversal of 110006 is 600011.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 109975 and 110002.

It is a congruent number.

It is an unprimeable number.

110006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2090 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (22218).

2¹¹⁰⁰⁰⁶ is an apocalyptic number.

110006 is a deficient number, since it is larger than the sum of its proper divisors (67738).

110006 is a wasteful number, since it uses less digits than its factorization.

110006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 110006 is about 331.6715242525. The cubic root of 110006 is about 47.9150697220.

Adding to 110006 its reverse (600011), we get a palindrome (710017).

The spelling of 110006 in words is "one hundred ten thousand, six".