1108214400 has 192 divisors, whose sum is σ = 3672979200. Its totient is φ = 293683200.

The previous prime is 1108214369. The next prime is 1108214407. The reversal of 1108214400 is 44128011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108214407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313361 + ... + 2313839.

It is an arithmetic number, because the mean of its divisors is an integer number (19130100).

Almost surely, 2^1108214400 is an apocalyptic number.

1108214400 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 1108214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836489600).

1108214400 is an abundant number, since it is smaller than the sum of its proper divisors (2564764800).

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

1108214400 is a wasteful number, since it uses less digits than its factorization.

1108214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1108214400 is about 33289.8543102850. The cubic root of 1108214400 is about 1034.8433098464.

The spelling of 1108214400 in words is "one billion, one hundred eight million, two hundred fourteen thousand, four hundred".