109089131043200 has 2304 divisors, whose sum is σ = 374397637017600. Its totient is φ = 30938277888000.

The previous prime is 109089131043199. The next prime is 109089131043239. The reversal of 109089131043200 is 2340131980901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169656502079 + ... + 169656502721.

It is an arithmetic number, because the mean of its divisors is an integer number (162498974400).

Almost surely, 2^{109089131043200} is an apocalyptic number.

109089131043200 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 109089131043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187198818508800).

109089131043200 is an abundant number, since it is smaller than the sum of its proper divisors (265308505974400).

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

109089131043200 is a wasteful number, since it uses less digits than its factorization.

109089131043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 109089131043200 in words is "one hundred nine trillion, eighty-nine billion, one hundred thirty-one million, forty-three thousand, two hundred".