105608128 has 56 divisors (see below), whose sum is σ = 216859104. Its totient is φ = 50995200.

The previous prime is 105608123. The next prime is 105608143. The reversal of 105608128 is 821806501.

It is a super-2 number, since 2×105608128² = 22306153399328768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105608128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105608123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 438088 + ... + 438328.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2^105608128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429552).

105608128 is an abundant number, since it is smaller than the sum of its proper divisors (111250976).

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

105608128 is a wasteful number, since it uses less digits than its factorization.

105608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 105608128 is about 10276.5815327861. The cubic root of 105608128 is about 472.6784268698.

The spelling of 105608128 in words is "one hundred five million, six hundred eight thousand, one hundred twenty-eight".