105182768 has 40 divisors (see below), whose sum is σ = 211720080. Its totient is φ = 50561280.

The previous prime is 105182767. The next prime is 105182771. The reversal of 105182768 is 867281501.

It is a super-2 number, since 2×105182768² = 22126829368283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105182761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183923 + ... + 184493.

It is an arithmetic number, because the mean of its divisors is an integer number (5293002).

Almost surely, 2^105182768 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 105182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105860040).

105182768 is an abundant number, since it is smaller than the sum of its proper divisors (106537312).

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

105182768 is a wasteful number, since it uses less digits than its factorization.

105182768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

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

The square root of 105182768 is about 10255.8650537144. The cubic root of 105182768 is about 472.0429674568.

The spelling of 105182768 in words is "one hundred five million, one hundred eighty-two thousand, seven hundred sixty-eight".