109365984 has 288 divisors, whose sum is σ = 398442240. Its totient is φ = 28574208.

The previous prime is 109365979. The next prime is 109366003. The reversal of 109365984 is 489563901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1022059 + ... + 1022165.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^109365984 is an apocalyptic number.

109365984 is a gapful number since it is divisible by the number (14) 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 109365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

109365984 is an abundant number, since it is smaller than the sum of its proper divisors (289076256).

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

109365984 is a wasteful number, since it uses less digits than its factorization.

109365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 109365984 is about 10457.8192755469. The cubic root of 109365984 is about 478.2196547701.

The spelling of 109365984 in words is "one hundred nine million, three hundred sixty-five thousand, nine hundred eighty-four".