109088105110992 has 1920 divisors, whose sum is σ = 399168251596800. Its totient is φ = 28342960128000.

The previous prime is 109088105110937. The next prime is 109088105110997. The reversal of 109088105110992 is 299011501880901.

It is a happy number.

109088105110992 is a `hidden beast` number, since 109 + 0 + 8 + 8 + 10 + 511 + 0 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109088105110997) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 480564339583 + ... + 480564339809.

It is an arithmetic number, because the mean of its divisors is an integer number (207900131040).

Almost surely, 2^{109088105110992} is an apocalyptic number.

109088105110992 is a gapful number since it is divisible by the number (12) 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 109088105110992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584125798400).

109088105110992 is an abundant number, since it is smaller than the sum of its proper divisors (290080146485808).

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

109088105110992 is a wasteful number, since it uses less digits than its factorization.

109088105110992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 54.

The spelling of 109088105110992 in words is "one hundred nine trillion, eighty-eight billion, one hundred five million, one hundred ten thousand, nine hundred ninety-two".