108984960 has 512 divisors, whose sum is σ = 475891200. Its totient is φ = 23003136.

The previous prime is 108984949. The next prime is 108984961. The reversal of 108984960 is 69489801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108984961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056294 + ... + 2056346.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^108984960 is an apocalyptic number.

108984960 is a gapful number since it is divisible by the number (10) 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 108984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

108984960 is an abundant number, since it is smaller than the sum of its proper divisors (366906240).

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

108984960 is a wasteful number, since it uses less digits than its factorization.

108984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 108984960 is about 10439.5861986958. The cubic root of 108984960 is about 477.6636464761.

The spelling of 108984960 in words is "one hundred eight million, nine hundred eighty-four thousand, nine hundred sixty".