1104148800 has 336 divisors, whose sum is σ = 4100779200. Its totient is φ = 288921600.

The previous prime is 1104148753. The next prime is 1104148823. The reversal of 1104148800 is 88414011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2634991 + ... + 2635409.

It is an arithmetic number, because the mean of its divisors is an integer number (12204700).

Almost surely, 2^1104148800 is an apocalyptic number.

1104148800 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 1104148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050389600).

1104148800 is an abundant number, since it is smaller than the sum of its proper divisors (2996630400).

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

1104148800 is a wasteful number, since it uses less digits than its factorization.

1104148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

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

The square root of 1104148800 is about 33228.7345530943. The cubic root of 1104148800 is about 1033.5762823365.

The spelling of 1104148800 in words is "one billion, one hundred four million, one hundred forty-eight thousand, eight hundred".