110223304400 has 360 divisors, whose sum is σ = 306444448800. Its totient is φ = 38043174400.

The previous prime is 110223304391. The next prime is 110223304427. The reversal of 110223304400 is 4403322011.

It is a super-3 number, since 3×110223304400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1868191571 + ... + 1868191629.

It is an arithmetic number, because the mean of its divisors is an integer number (851234580).

Almost surely, 2^110223304400 is an apocalyptic number.

110223304400 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 110223304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153222224400).

110223304400 is an abundant number, since it is smaller than the sum of its proper divisors (196221144400).

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

110223304400 is an frugal number, since it uses more digits than its factorization.

110223304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 110223304400 its reverse (4403322011), we get a palindrome (114626626411).

The spelling of 110223304400 in words is "one hundred ten billion, two hundred twenty-three million, three hundred four thousand, four hundred".