111090 has 48 divisors (see below), whose sum is σ = 318528. Its totient is φ = 24288.

The previous prime is 111053. The next prime is 111091. The reversal of 111090 is 90111.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111091) by changing a digit.

111090 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 23 ways as a sum of consecutive naturals, for example, 4819 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2¹¹¹⁰⁹⁰ is an apocalyptic number.

111090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264).

111090 is an abundant number, since it is smaller than the sum of its proper divisors (207438).

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

111090 is a wasteful number, since it uses less digits than its factorization.

111090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 111090 is about 333.3016651624. The cubic root of 111090 is about 48.0719407350.

The spelling of 111090 in words is "one hundred eleven thousand, ninety".