111630 has 24 divisors (see below), whose sum is σ = 272376. Its totient is φ = 29280.

The previous prime is 111623. The next prime is 111637. The reversal of 111630 is 36111.

It is an interprime number because it is at equal distance from previous prime (111623) and next prime (111637).

It is a super-2 number, since 2×111630² = 24922513800, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111637) 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, 1800 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (11349).

111630 is a Friedman number, since it can be written as 61^(1+1)*30, using all its digits and the basic arithmetic operations.

2¹¹¹⁶³⁰ is an apocalyptic number.

111630 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 111630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136188).

111630 is an abundant number, since it is smaller than the sum of its proper divisors (160746).

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

111630 is an equidigital number, since it uses as much as digits as its factorization.

111630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 111630 is about 334.1107600782. The cubic root of 111630 is about 48.1497062101.

Adding to 111630 its reverse (36111), we get a palindrome (147741).

It can be divided in two parts, 111 and 630, that added together give a triangular number (741 = T₃₈).

The spelling of 111630 in words is "one hundred eleven thousand, six hundred thirty".