111810 has 16 divisors (see below), whose sum is σ = 268416. Its totient is φ = 29808.

The previous prime is 111799. The next prime is 111821. The reversal of 111810 is 18111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111799) and next prime (111821).

It is a super-2 number, since 2×111810² = 25002952200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

111810 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 7 ways as a sum of consecutive naturals, for example, 1834 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (16776).

2¹¹¹⁸¹⁰ is an apocalyptic number.

111810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111810 is an abundant number, since it is smaller than the sum of its proper divisors (156606).

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

111810 is a wasteful number, since it uses less digits than its factorization.

111810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 111810 is about 334.3800233268. The cubic root of 111810 is about 48.1755722941.

Adding to 111810 its reverse (18111), we get a palindrome (129921).

It can be divided in two parts, 1118 and 10, that added together give a triangular number (1128 = T₄₇).

The spelling of 111810 in words is "one hundred eleven thousand, eight hundred ten".