108720288 has 72 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 36058752.

The previous prime is 108720263. The next prime is 108720301. The reversal of 108720288 is 882027801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 64545 + ... + 66207.

It is an arithmetic number, because the mean of its divisors is an integer number (4315584).

Almost surely, 2^108720288 is an apocalyptic number.

108720288 is a gapful number since it is divisible by the number (18) 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 108720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

108720288 is an abundant number, since it is smaller than the sum of its proper divisors (202001760).

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

108720288 is a wasteful number, since it uses less digits than its factorization.

108720288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 108720288 is about 10426.9021286286. The cubic root of 108720288 is about 477.2766613603.

The spelling of 108720288 in words is "one hundred eight million, seven hundred twenty thousand, two hundred eighty-eight".