1089109800 has 480 divisors, whose sum is σ = 4105094400. Its totient is φ = 266872320.

The previous prime is 1089109783. The next prime is 1089109817. The reversal of 1089109800 is 89019801.

It is an interprime number because it is at equal distance from previous prime (1089109783) and next prime (1089109817).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13786161 + ... + 13786239.

It is an arithmetic number, because the mean of its divisors is an integer number (8552280).

Almost surely, 2^1089109800 is an apocalyptic number.

1089109800 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 1089109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052547200).

1089109800 is an abundant number, since it is smaller than the sum of its proper divisors (3015984600).

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

1089109800 is a wasteful number, since it uses less digits than its factorization.

1089109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1089109800 is about 33001.6635944311. The cubic root of 1089109800 is about 1028.8622243266.

It can be divided in two parts, 1089 and 109800, that added together give a square (110889 = 333²).

The spelling of 1089109800 in words is "one billion, eighty-nine million, one hundred nine thousand, eight hundred".