109584321 has 16 divisors (see below), whose sum is σ = 182166528. Its totient is φ = 56926800.

The previous prime is 109584283. The next prime is 109584323. The reversal of 109584321 is 123485901.

It is not a de Polignac number, because 109584321 - 2¹⁷ = 109453249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (109584323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236965 + ... + 237426.

It is an arithmetic number, because the mean of its divisors is an integer number (11385408).

Almost surely, 2^109584321 is an apocalyptic number.

109584321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109584321 is a deficient number, since it is larger than the sum of its proper divisors (72582207).

109584321 is a wasteful number, since it uses less digits than its factorization.

109584321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474412.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 109584321 is about 10468.2530061133. The cubic root of 109584321 is about 478.5376806465.

The spelling of 109584321 in words is "one hundred nine million, five hundred eighty-four thousand, three hundred twenty-one".