111008 has 12 divisors (see below), whose sum is σ = 218610. Its totient is φ = 55488.

The previous prime is 110989. The next prime is 111029. The reversal of 111008 is 800111.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 784 = 332^2 + 28^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111008.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1703 + ... + 1766.

2¹¹¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

111008 is a deficient number, since it is larger than the sum of its proper divisors (107602).

111008 is an equidigital number, since it uses as much as digits as its factorization.

111008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 111008 is about 333.1786307673. The cubic root of 111008 is about 48.0601098788.

Adding to 111008 its reverse (800111), we get a palindrome (911119).

The spelling of 111008 in words is "one hundred eleven thousand, eight".