109584096 has 96 divisors (see below), whose sum is σ = 307319040. Its totient is φ = 34089984.

The previous prime is 109584067. The next prime is 109584107. The reversal of 109584096 is 690485901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×109584096² = 24017348192274432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132741 + ... + 133563.

It is an arithmetic number, because the mean of its divisors is an integer number (3201240).

Almost surely, 2^109584096 is an apocalyptic number.

109584096 is a gapful number since it is divisible by the number (16) 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 109584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153659520).

109584096 is an abundant number, since it is smaller than the sum of its proper divisors (197734944).

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

109584096 is a wasteful number, since it uses less digits than its factorization.

109584096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 109584096 is about 10468.2422593289. The cubic root of 109584096 is about 478.5373531329.

The spelling of 109584096 in words is "one hundred nine million, five hundred eighty-four thousand, ninety-six".