109072768 has 128 divisors (see below), whose sum is σ = 269280000. Its totient is φ = 42964992.

The previous prime is 109072763. The next prime is 109072771. The reversal of 109072768 is 867270901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 109072768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109072763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731958 + ... + 732106.

It is an arithmetic number, because the mean of its divisors is an integer number (2103750).

Almost surely, 2^109072768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640000).

109072768 is an abundant number, since it is smaller than the sum of its proper divisors (160207232).

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

109072768 is a wasteful number, since it uses less digits than its factorization.

109072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 109072768 is about 10443.7908826249. The cubic root of 109072768 is about 477.7918948456.

The spelling of 109072768 in words is "one hundred nine million, seventy-two thousand, seven hundred sixty-eight".