105166768 has 20 divisors (see below), whose sum is σ = 232869520. Its totient is φ = 45071424.

The previous prime is 105166757. The next prime is 105166781. The reversal of 105166768 is 867661501.

It is a super-2 number, since 2×105166768² = 22120098183131648, 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 105166768.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 469383 + ... + 469606.

It is an arithmetic number, because the mean of its divisors is an integer number (11643476).

Almost surely, 2^105166768 is an apocalyptic number.

It is an amenable number.

105166768 is an abundant number, since it is smaller than the sum of its proper divisors (127702752).

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

105166768 is an equidigital number, since it uses as much as digits as its factorization.

105166768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939004 (or 938998 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 105166768 is about 10255.0849825830. The cubic root of 105166768 is about 472.0190311200.

The spelling of 105166768 in words is "one hundred five million, one hundred sixty-six thousand, seven hundred sixty-eight".