108144960 has 504 divisors, whose sum is σ = 462137760. Its totient is φ = 21288960.

The previous prime is 108144947. The next prime is 108144961. The reversal of 108144960 is 69441801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108144961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5691831 + ... + 5691849.

It is an arithmetic number, because the mean of its divisors is an integer number (916940).

Almost surely, 2^108144960 is an apocalyptic number.

108144960 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 108144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068880).

108144960 is an abundant number, since it is smaller than the sum of its proper divisors (353992800).

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

108144960 is a wasteful number, since it uses less digits than its factorization.

108144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 108144960 is about 10399.2768979386. The cubic root of 108144960 is about 476.4332848316.

The spelling of 108144960 in words is "one hundred eight million, one hundred forty-four thousand, nine hundred sixty".