1100008800 has 864 divisors, whose sum is σ = 4825941120. Its totient is φ = 232243200.

The previous prime is 1100008769. The next prime is 1100008801. The reversal of 1100008800 is 88000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100008801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 25581579 + ... + 25581621.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^1100008800 is an apocalyptic number.

1100008800 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 1100008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412970560).

1100008800 is an abundant number, since it is smaller than the sum of its proper divisors (3725932320).

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

1100008800 is a wasteful number, since it uses less digits than its factorization.

1100008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1100008800 is about 33166.3805682803. The cubic root of 1100008800 is about 1032.2828681960.

Adding to 1100008800 its reverse (88000011), we get a palindrome (1188008811).

The spelling of 1100008800 in words is "one billion, one hundred million, eight thousand, eight hundred".