108368064 has 336 divisors, whose sum is σ = 399247360. Its totient is φ = 28200960.

The previous prime is 108368059. The next prime is 108368087. The reversal of 108368064 is 460863801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 3495729 + ... + 3495759.

Almost surely, 2^108368064 is an apocalyptic number.

108368064 is a gapful number since it is divisible by the number (14) 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 108368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199623680).

108368064 is an abundant number, since it is smaller than the sum of its proper divisors (290879296).

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

108368064 is a wasteful number, since it uses less digits than its factorization.

108368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 108368064 is about 10409.9982708932. The cubic root of 108368064 is about 476.7606884695.

Adding to 108368064 its sum of digits (36), we get a square (108368100 = 10410²).

The spelling of 108368064 in words is "one hundred eight million, three hundred sixty-eight thousand, sixty-four".