109093111680 has 256 divisors, whose sum is σ = 418327948800. Its totient is φ = 23623114752.

The previous prime is 109093111679. The next prime is 109093111691. The reversal of 109093111680 is 86111390901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41754 + ... + 468966.

It is an arithmetic number, because the mean of its divisors is an integer number (1634093550).

Almost surely, 2^109093111680 is an apocalyptic number.

109093111680 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 109093111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209163974400).

109093111680 is an abundant number, since it is smaller than the sum of its proper divisors (309234837120).

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

109093111680 is a wasteful number, since it uses less digits than its factorization.

109093111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427261 (or 427249 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 109093111680 in words is "one hundred nine billion, ninety-three million, one hundred eleven thousand, six hundred eighty".