111400800 has 288 divisors, whose sum is σ = 437472000. Its totient is φ = 24053760.

The previous prime is 111400789. The next prime is 111400801. The reversal of 111400800 is 8004111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111400800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111400801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319026 + ... + 319374.

It is an arithmetic number, because the mean of its divisors is an integer number (1519000).

Almost surely, 2^111400800 is an apocalyptic number.

111400800 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 111400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

111400800 is an abundant number, since it is smaller than the sum of its proper divisors (326071200).

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

111400800 is a wasteful number, since it uses less digits than its factorization.

111400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 111400800 is about 10554.6577395953. The cubic root of 111400800 is about 481.1672978704.

Adding to 111400800 its reverse (8004111), we get a palindrome (119404911).

The spelling of 111400800 in words is "one hundred eleven million, four hundred thousand, eight hundred".