109869984 has 72 divisors (see below), whose sum is σ = 357084000. Its totient is φ = 31390848.

The previous prime is 109869959. The next prime is 109870003. The reversal of 109869984 is 489968901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 109869984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25234 + ... + 29265.

It is an arithmetic number, because the mean of its divisors is an integer number (4959500).

Almost surely, 2^109869984 is an apocalyptic number.

109869984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109869984 is an abundant number, since it is smaller than the sum of its proper divisors (247214016).

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

109869984 is a wasteful number, since it uses less digits than its factorization.

109869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54522 (or 54511 counting only the distinct ones).

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

The square root of 109869984 is about 10481.8883794858. Note that the first 3 decimals coincide. The cubic root of 109869984 is about 478.9531351473.

The spelling of 109869984 in words is "one hundred nine million, eight hundred sixty-nine thousand, nine hundred eighty-four".