110431400200 has 144 divisors (see below), whose sum is σ = 285016640580. Its totient is φ = 39758400000.

The previous prime is 110431400147. The next prime is 110431400201. The reversal of 110431400200 is 2004134011.

It can be written as a sum of positive squares in 6 ways, for example, as 40141725316 + 70289674884 = 200354^2 + 265122^2 .

It is not an unprimeable number, because it can be changed into a prime (110431400201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2421610 + ... + 2466790.

Almost surely, 2^110431400200 is an apocalyptic number.

110431400200 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 110431400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142508320290).

110431400200 is an abundant number, since it is smaller than the sum of its proper divisors (174585240380).

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

110431400200 is a wasteful number, since it uses less digits than its factorization.

110431400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45320 (or 45300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110431400200 its reverse (2004134011), we get a palindrome (112435534211).

The spelling of 110431400200 in words is "one hundred ten billion, four hundred thirty-one million, four hundred thousand, two hundred".