109008564 has 96 divisors (see below), whose sum is σ = 305329920. Its totient is φ = 29611008.

The previous prime is 109008553. The next prime is 109008583. The reversal of 109008564 is 465800901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177522 + ... + 178134.

It is an arithmetic number, because the mean of its divisors is an integer number (3180520).

Almost surely, 2^109008564 is an apocalyptic number.

109008564 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 109008564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152664960).

109008564 is an abundant number, since it is smaller than the sum of its proper divisors (196321356).

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

109008564 is a wasteful number, since it uses less digits than its factorization.

109008564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

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

The square root of 109008564 is about 10440.7166420701. The cubic root of 109008564 is about 477.6981281723.

The spelling of 109008564 in words is "one hundred nine million, eight thousand, five hundred sixty-four".