108146304 has 96 divisors (see below), whose sum is σ = 355686240. Its totient is φ = 30896640.

The previous prime is 108146287. The next prime is 108146317. The reversal of 108146304 is 403641801.

108146304 is a `hidden beast` number, since 10 + 8 + 14 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 1359 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (3705065).

Almost surely, 2^108146304 is an apocalyptic number.

108146304 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 108146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177843120).

108146304 is an abundant number, since it is smaller than the sum of its proper divisors (247539936).

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

108146304 is a wasteful number, since it uses less digits than its factorization.

108146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 108146304 is about 10399.3415176154. The cubic root of 108146304 is about 476.4352584902.

The spelling of 108146304 in words is "one hundred eight million, one hundred forty-six thousand, three hundred four".