111320 has 48 divisors (see below), whose sum is σ = 287280. Its totient is φ = 38720.

The previous prime is 111317. The next prime is 111323. The reversal of 111320 is 23111.

It is an interprime number because it is at equal distance from previous prime (111317) and next prime (111323).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 111298 and 111307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4829 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2¹¹¹³²⁰ is an apocalyptic number.

111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

111320 is an abundant number, since it is smaller than the sum of its proper divisors (175960).

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

111320 is a wasteful number, since it uses less digits than its factorization.

111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 111320 is about 333.6465195383. The cubic root of 111320 is about 48.1050938081.

Adding to 111320 its reverse (23111), we get a palindrome (134431).

Subtracting from 111320 its reverse (23111), we obtain a square (88209 = 297²).

It can be divided in two parts, 11 and 1320, that added together give a palindrome (1331).

The spelling of 111320 in words is "one hundred eleven thousand, three hundred twenty", and thus it is an iban number.