109082094327360 has 1344 divisors, whose sum is σ = 485456875997184. Its totient is φ = 22649883033600.

The previous prime is 109082094327331. The next prime is 109082094327431. The reversal of 109082094327360 is 63723490280901.

109082094327360 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 82 + 0 + 9 + 432 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 109082094327297 and 109082094327306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9298612695 + ... + 9298624425.

It is an arithmetic number, because the mean of its divisors is an integer number (361203032736).

Almost surely, 2^{109082094327360} is an apocalyptic number.

109082094327360 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 109082094327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242728437998592).

109082094327360 is an abundant number, since it is smaller than the sum of its proper divisors (376374781669824).

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

109082094327360 is a wasteful number, since it uses less digits than its factorization.

109082094327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 109082094327360 in words is "one hundred nine trillion, eighty-two billion, ninety-four million, three hundred twenty-seven thousand, three hundred sixty".