111130400 has 72 divisors (see below), whose sum is σ = 276521364. Its totient is φ = 43596800.

The previous prime is 111130391. The next prime is 111130403. The reversal of 111130400 is 4031111.

It can be written as a sum of positive squares in 6 ways, for example, as 71842576 + 39287824 = 8476^2 + 6268^2 .

It is not an unprimeable number, because it can be changed into a prime (111130403) 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, 41090 + ... + 43710.

Almost surely, 2^111130400 is an apocalyptic number.

111130400 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 111130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138260682).

111130400 is an abundant number, since it is smaller than the sum of its proper divisors (165390964).

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

111130400 is a wasteful number, since it uses less digits than its factorization.

111130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 111130400 is about 10541.8404465255. The cubic root of 111130400 is about 480.7776745512. Note that the first 3 decimals are identical.

Adding to 111130400 its reverse (4031111), we get a palindrome (115161511).

The spelling of 111130400 in words is "one hundred eleven million, one hundred thirty thousand, four hundred".