108567216 has 100 divisors (see below), whose sum is σ = 330838200. Its totient is φ = 34276608.

The previous prime is 108567209. The next prime is 108567233. The reversal of 108567216 is 612765801.

It is a super-3 number, since 3×108567216³ (a number of 25 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 22420 + ... + 26828.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^108567216 is an apocalyptic number.

108567216 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 108567216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165419100).

108567216 is an abundant number, since it is smaller than the sum of its proper divisors (222270984).

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

108567216 is a wasteful number, since it uses less digits than its factorization.

108567216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 108567216 is about 10419.5592997017. The cubic root of 108567216 is about 477.0525633306.

The spelling of 108567216 in words is "one hundred eight million, five hundred sixty-seven thousand, two hundred sixteen".