108216288 has 216 divisors, whose sum is σ = 351331344. Its totient is φ = 31426560.

The previous prime is 108216263. The next prime is 108216293. The reversal of 108216288 is 882612801.

108216288 is a `hidden beast` number, since 1 + 0 + 8 + 21 + 628 + 8 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3490833 + ... + 3490863.

It is an arithmetic number, because the mean of its divisors is an integer number (1626534).

Almost surely, 2^108216288 is an apocalyptic number.

108216288 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 108216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175665672).

108216288 is an abundant number, since it is smaller than the sum of its proper divisors (243115056).

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

108216288 is a wasteful number, since it uses less digits than its factorization.

108216288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 108216288 is about 10402.7058018575. The cubic root of 108216288 is about 476.5380071253.

The spelling of 108216288 in words is "one hundred eight million, two hundred sixteen thousand, two hundred eighty-eight".