1104103114400 has 288 divisors, whose sum is σ = 3169193283648. Its totient is φ = 370306252800.

The previous prime is 1104103114393. The next prime is 1104103114447. The reversal of 1104103114400 is 44113014011.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 174228032 + ... + 174234368.

It is an arithmetic number, because the mean of its divisors is an integer number (11004143346).

Almost surely, 2^{1104103114400} is an apocalyptic number.

1104103114400 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 1104103114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584596641824).

1104103114400 is an abundant number, since it is smaller than the sum of its proper divisors (2065090169248).

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

1104103114400 is a wasteful number, since it uses less digits than its factorization.

1104103114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1104103114400 its reverse (44113014011), we get a palindrome (1148216128411).

The spelling of 1104103114400 in words is "one trillion, one hundred four billion, one hundred three million, one hundred fourteen thousand, four hundred".