108987840 has 336 divisors, whose sum is σ = 419380416. Its totient is φ = 25804800.

The previous prime is 108987839. The next prime is 108987863. The reversal of 108987840 is 48789801.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1535005 + ... + 1535075.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^108987840 is an apocalyptic number.

108987840 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 108987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

108987840 is an abundant number, since it is smaller than the sum of its proper divisors (310392576).

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

108987840 is a wasteful number, since it uses less digits than its factorization.

108987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 108987840 is about 10439.7241342863. The cubic root of 108987840 is about 477.6678539655.

The spelling of 108987840 in words is "one hundred eight million, nine hundred eighty-seven thousand, eight hundred forty".