1106036800 has 252 divisors, whose sum is σ = 3110308740. Its totient is φ = 386355200.

The previous prime is 1106036773. The next prime is 1106036849. The reversal of 1106036800 is 86306011.

It can be written as a sum of positive squares in 6 ways, for example, as 40144896 + 1065891904 = 6336^2 + 32648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 5614302 + ... + 5614498.

It is an arithmetic number, because the mean of its divisors is an integer number (12342495).

Almost surely, 2^1106036800 is an apocalyptic number.

1106036800 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 1106036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555154370).

1106036800 is an abundant number, since it is smaller than the sum of its proper divisors (2004271940).

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

1106036800 is a wasteful number, since it uses less digits than its factorization.

1106036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1106036800 is about 33257.1315660266. The cubic root of 1106036800 is about 1034.1650558903.

The spelling of 1106036800 in words is "one billion, one hundred six million, thirty-six thousand, eight hundred".