110400 has 84 divisors (see below), whose sum is σ = 377952. Its totient is φ = 28160.

The previous prime is 110359. The next prime is 110419. The reversal of 110400 is 4011.

110400 = T₄₅ + T₄₆ + ... + T₉₀.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4789 + ... + 4811.

2¹¹⁰⁴⁰⁰ is an apocalyptic number.

110400 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 110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976).

110400 is an abundant number, since it is smaller than the sum of its proper divisors (267552).

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

110400 is a wasteful number, since it uses less digits than its factorization.

110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 110400 is about 332.2649545167. The cubic root of 110400 is about 47.9722061316.

Adding to 110400 its reverse (4011), we get a palindrome (114411).

It can be divided in two parts, 1 and 10400, that added together give a palindrome (10401).

The spelling of 110400 in words is "one hundred ten thousand, four hundred", and thus it is an iban number.