105164768 has 12 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 52582368.

The previous prime is 105164747. The next prime is 105164777. The reversal of 105164768 is 867461501.

It is a super-2 number, since 2×105164768² = 22119256856987648, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 1643168 + ... + 1643231.

It is an arithmetic number, because the mean of its divisors is an integer number (17253600).

Almost surely, 2^105164768 is an apocalyptic number.

It is an amenable number.

105164768 is a deficient number, since it is larger than the sum of its proper divisors (101878432).

105164768 is an equidigital number, since it uses as much as digits as its factorization.

105164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286409 (or 3286401 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 105164768 is about 10254.9874695194. The cubic root of 105164768 is about 472.0160389072.

The spelling of 105164768 in words is "one hundred five million, one hundred sixty-four thousand, seven hundred sixty-eight".