110004400 has 120 divisors (see below), whose sum is σ = 301123584. Its totient is φ = 38227200.

The previous prime is 110004397. The next prime is 110004407. The reversal of 110004400 is 4400011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110004407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100657 + ... + 101743.

Almost surely, 2^110004400 is an apocalyptic number.

110004400 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 110004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561792).

110004400 is an abundant number, since it is smaller than the sum of its proper divisors (191119184).

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

110004400 is a wasteful number, since it uses less digits than its factorization.

110004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 110004400 is about 10488.2982413736. The cubic root of 110004400 is about 479.1483741809.

Adding to 110004400 its reverse (4400011), we get a palindrome (114404411).

It can be divided in two parts, 11000 and 4400, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 110004400 in words is "one hundred ten million, four thousand, four hundred".