108066816 has 288 divisors, whose sum is σ = 375626160. Its totient is φ = 29491200.

The previous prime is 108066809. The next prime is 108066817. The reversal of 108066816 is 618660801.

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 (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108066817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635756 + ... + 2635796.

Almost surely, 2^108066816 is an apocalyptic number.

108066816 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 108066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187813080).

108066816 is an abundant number, since it is smaller than the sum of its proper divisors (267559344).

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

108066816 is a wasteful number, since it uses less digits than its factorization.

108066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 108066816 is about 10395.5190346610. The cubic root of 108066816 is about 476.3185025567.

It can be divided in two parts, 1080 and 66816, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 108066816 in words is "one hundred eight million, sixty-six thousand, eight hundred sixteen".