111006 has 24 divisors (see below), whose sum is σ = 275184. Its totient is φ = 31680.

The previous prime is 110989. The next prime is 111029. The reversal of 111006 is 600111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

111006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹¹¹⁰⁰⁶ is an apocalyptic number.

111006 is an abundant number, since it is smaller than the sum of its proper divisors (164178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111006 is a wasteful number, since it uses less digits than its factorization.

111006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 111006 is about 333.1756293609. The cubic root of 111006 is about 48.0598212486.

Adding to 111006 its reverse (600111), we get a palindrome (711117).

The spelling of 111006 in words is "one hundred eleven thousand, six".