1108144800 has 540 divisors, whose sum is σ = 4714444350. Its totient is φ = 252564480.

The previous prime is 1108144799. The next prime is 1108144859. The reversal of 1108144800 is 84418011.

It can be written as a sum of positive squares in 3 ways, for example, as 929762064 + 178382736 = 30492^2 + 13356^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 3175026 + ... + 3175374.

Almost surely, 2^1108144800 is an apocalyptic number.

1108144800 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 1108144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357222175).

1108144800 is an abundant number, since it is smaller than the sum of its proper divisors (3606299550).

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

1108144800 is a wasteful number, since it uses less digits than its factorization.

1108144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1108144800 is about 33288.8089303297. The cubic root of 1108144800 is about 1034.8216453856.

The spelling of 1108144800 in words is "one billion, one hundred eight million, one hundred forty-four thousand, eight hundred".