111384 has 96 divisors (see below), whose sum is σ = 393120. Its totient is φ = 27648.

The previous prime is 111373. The next prime is 111409. The reversal of 111384 is 483111.

111384 = T₇₇ + T₇₈ + ... + T₁₀₃.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

111384 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, 6544 + ... + 6560.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2¹¹¹³⁸⁴ is an apocalyptic number.

111384 is a gapful number since it is divisible by the number (14) 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 111384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

111384 is an abundant number, since it is smaller than the sum of its proper divisors (281736).

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

111384 is a wasteful number, since it uses less digits than its factorization.

111384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111384 is about 333.7424156442. The cubic root of 111384 is about 48.1143108885.

Adding to 111384 its reverse (483111), we get a palindrome (594495).

It can be divided in two parts, 111 and 384, that multiplied together give a palindrome (42624).

The spelling of 111384 in words is "one hundred eleven thousand, three hundred eighty-four".