110400822 has 144 divisors (see below), whose sum is σ = 304106400. Its totient is φ = 28740096.

The previous prime is 110400821. The next prime is 110400853. The reversal of 110400822 is 228004011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110400795 and 110400804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110400821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554679 + ... + 554877.

It is an arithmetic number, because the mean of its divisors is an integer number (2111850).

Almost surely, 2^110400822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110400822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152053200).

110400822 is an abundant number, since it is smaller than the sum of its proper divisors (193705578).

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

110400822 is a wasteful number, since it uses less digits than its factorization.

110400822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110400822 is about 10507.1795454346. The cubic root of 110400822 is about 479.7232519275.

Adding to 110400822 its reverse (228004011), we get a palindrome (338404833).

The spelling of 110400822 in words is "one hundred ten million, four hundred thousand, eight hundred twenty-two".