108581984 has 48 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 46376064.

The previous prime is 108581929. The next prime is 108581987. The reversal of 108581984 is 489185801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108581987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84257 + ... + 85535.

It is an arithmetic number, because the mean of its divisors is an integer number (5107200).

Almost surely, 2^108581984 is an apocalyptic number.

108581984 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 108581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

108581984 is an abundant number, since it is smaller than the sum of its proper divisors (136563616).

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

108581984 is a wasteful number, since it uses less digits than its factorization.

108581984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The square root of 108581984 is about 10420.2679428122. The cubic root of 108581984 is about 477.0741929198.

The spelling of 108581984 in words is "one hundred eight million, five hundred eighty-one thousand, nine hundred eighty-four".