111906 has 12 divisors (see below), whose sum is σ = 242502. Its totient is φ = 37296.

The previous prime is 111893. The next prime is 111913. The reversal of 111906 is 609111.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 27225 = 291^2 + 165^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6217 = 111906 / (1 + 1 + 1 + 9 + 0 + 6).

It is an unprimeable number.

111906 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 5 ways as a sum of consecutive naturals, for example, 3091 + ... + 3126.

2¹¹¹⁹⁰⁶ is an apocalyptic number.

111906 is an abundant number, since it is smaller than the sum of its proper divisors (130596).

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

111906 is a wasteful number, since it uses less digits than its factorization.

111906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6222 counting only the distinct ones).

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

The square root of 111906 is about 334.5235417725. The cubic root of 111906 is about 48.1893561893.

The spelling of 111906 in words is "one hundred eleven thousand, nine hundred six".