108006516 has 18 divisors (see below), whose sum is σ = 273016562. Its totient is φ = 36002160.

The previous prime is 108006499. The next prime is 108006523. The reversal of 108006516 is 615600801.

108006516 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 651 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67174416 + 40832100 = 8196^2 + 6390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 108006516.

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 5 ways as a sum of consecutive naturals, for example, 1500055 + ... + 1500126.

Almost surely, 2^108006516 is an apocalyptic number.

It is an amenable number.

108006516 is an abundant number, since it is smaller than the sum of its proper divisors (165010046).

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

108006516 is a wasteful number, since it uses less digits than its factorization.

108006516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000191 (or 3000186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 108006516 is about 10392.6183418809. The cubic root of 108006516 is about 476.2298927175.

The spelling of 108006516 in words is "one hundred eight million, six thousand, five hundred sixteen".