109384992 has 108 divisors (see below), whose sum is σ = 323631126. Its totient is φ = 36391680.

The previous prime is 109384969. The next prime is 109384993. The reversal of 109384992 is 299483901.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 8503056 = 10044^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (109384993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209692 + ... + 210212.

Almost surely, 2^109384992 is an apocalyptic number.

109384992 is a gapful number since it is divisible by the number (12) 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 109384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161815563).

109384992 is an abundant number, since it is smaller than the sum of its proper divisors (214246134).

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

109384992 is an frugal number, since it uses more digits than its factorization.

109384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 109384992 is about 10458.7280297367. The cubic root of 109384992 is about 478.2473583037.

The spelling of 109384992 in words is "one hundred nine million, three hundred eighty-four thousand, nine hundred ninety-two".