108182016 has 120 divisors (see below), whose sum is σ = 330825924. Its totient is φ = 33914880.

The previous prime is 108181981. The next prime is 108182057. The reversal of 108182016 is 610281801.

It can be written as a sum of positive squares in 2 ways, for example, as 106502400 + 1679616 = 10320^2 + 1296^2 .

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, 77646 + ... + 79026.

Almost surely, 2^108182016 is an apocalyptic number.

108182016 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 108182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165412962).

108182016 is an abundant number, since it is smaller than the sum of its proper divisors (222643908).

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

108182016 is a wasteful number, since it uses less digits than its factorization.

108182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 108182016 is about 10401.0584076814. The cubic root of 108182016 is about 476.4876954292.

The spelling of 108182016 in words is "one hundred eight million, one hundred eighty-two thousand, sixteen".