109689984 has 128 divisors (see below), whose sum is σ = 342964800. Its totient is φ = 34394112.

The previous prime is 109689973. The next prime is 109689989. The reversal of 109689984 is 489986901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109689984.

It is not an unprimeable number, because it can be changed into a prime (109689989) by changing a digit.

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, 57819 + ... + 59685.

Almost surely, 2^109689984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171482400).

109689984 is an abundant number, since it is smaller than the sum of its proper divisors (233274816).

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

109689984 is a wasteful number, since it uses less digits than its factorization.

109689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 109689984 is about 10473.2986207785. The cubic root of 109689984 is about 478.6914358666.

The spelling of 109689984 in words is "one hundred nine million, six hundred eighty-nine thousand, nine hundred eighty-four".