110104800 has 144 divisors (see below), whose sum is σ = 386069040. Its totient is φ = 27095040.

The previous prime is 110104781. The next prime is 110104807. The reversal of 110104800 is 8401011.

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 110104800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110104807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29436 + ... + 32964.

It is an arithmetic number, because the mean of its divisors is an integer number (2681035).

Almost surely, 2^110104800 is an apocalyptic number.

110104800 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 110104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193034520).

110104800 is an abundant number, since it is smaller than the sum of its proper divisors (275964240).

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

110104800 is a wasteful number, since it uses less digits than its factorization.

110104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3552 counting only the distinct ones).

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

The square root of 110104800 is about 10493.0834362450. The cubic root of 110104800 is about 479.2941012874.

Adding to 110104800 its reverse (8401011), we get a palindrome (118505811).

The spelling of 110104800 in words is "one hundred ten million, one hundred four thousand, eight hundred".