109072055808 has 240 divisors, whose sum is σ = 334062368640. Its totient is φ = 34185203712.

The previous prime is 109072055797. The next prime is 109072055809. The reversal of 109072055808 is 808550270901.

It is a happy number.

109072055808 is a `hidden beast` number, since 1 + 0 + 90 + 7 + 2 + 0 + 558 + 0 + 8 = 666.

109072055808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109072055809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6244335 + ... + 6261777.

It is an arithmetic number, because the mean of its divisors is an integer number (1391926536).

Almost surely, 2^109072055808 is an apocalyptic number.

109072055808 is a gapful number since it is divisible by the number (18) 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 109072055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167031184320).

109072055808 is an abundant number, since it is smaller than the sum of its proper divisors (224990312832).

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

109072055808 is a wasteful number, since it uses less digits than its factorization.

109072055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 109072055808 in words is "one hundred nine billion, seventy-two million, fifty-five thousand, eight hundred eight".