108720144 has 160 divisors (see below), whose sum is σ = 341644800. Its totient is φ = 33312384.

The previous prime is 108720127. The next prime is 108720169. The reversal of 108720144 is 441027801.

It is a super-3 number, since 3×108720144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454777 + ... + 455015.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 2^108720144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108720144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170822400).

108720144 is an abundant number, since it is smaller than the sum of its proper divisors (232924656).

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

108720144 is an equidigital number, since it uses as much as digits as its factorization.

108720144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 108720144 is about 10426.8952234114. The cubic root of 108720144 is about 477.2764506426.

Adding to 108720144 its reverse (441027801), we get a palindrome (549747945).

The spelling of 108720144 in words is "one hundred eight million, seven hundred twenty thousand, one hundred forty-four".