111248 has 20 divisors (see below), whose sum is σ = 228780. Its totient is φ = 52224.

The previous prime is 111229. The next prime is 111253. The reversal of 111248 is 842111.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 16384 = 308^2 + 128^2 .

It is a super-2 number, since 2×111248² = 24752235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

111248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (11439).

2¹¹¹²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114390).

111248 is an abundant number, since it is smaller than the sum of its proper divisors (117532).

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

111248 is a wasteful number, since it uses less digits than its factorization.

111248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 111248 is about 333.5386034629. The cubic root of 111248 is about 48.0947203689.

Adding to 111248 its reverse (842111), we get a palindrome (953359).

The spelling of 111248 in words is "one hundred eleven thousand, two hundred forty-eight".