108210816 has 288 divisors, whose sum is σ = 380933280. Its totient is φ = 30481920.

The previous prime is 108210799. The next prime is 108210841. The reversal of 108210816 is 618012801.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 108210816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524061 + ... + 1524131.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^108210816 is an apocalyptic number.

108210816 is a gapful number since it is divisible by the number (16) 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 108210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

108210816 is an abundant number, since it is smaller than the sum of its proper divisors (272722464).

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

108210816 is an frugal number, since it uses more digits than its factorization.

108210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 108210816 is about 10402.4427900373. The cubic root of 108210816 is about 476.5299748781.

The spelling of 108210816 in words is "one hundred eight million, two hundred ten thousand, eight hundred sixteen".