105728168 has 64 divisors (see below), whose sum is σ = 258370560. Its totient is φ = 39361536.

The previous prime is 105728167. The next prime is 105728209. The reversal of 105728168 is 861827501.

It is a super-2 number, since 2×105728168² = 22356891017272448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105728167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8105 + ... + 16647.

It is an arithmetic number, because the mean of its divisors is an integer number (4037040).

Almost surely, 2^105728168 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 105728168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129185280).

105728168 is an abundant number, since it is smaller than the sum of its proper divisors (152642392).

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

105728168 is a wasteful number, since it uses less digits than its factorization.

105728168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 105728168 is about 10282.4203376442. The cubic root of 105728168 is about 472.8574498136.

The spelling of 105728168 in words is "one hundred five million, seven hundred twenty-eight thousand, one hundred sixty-eight".