105205168 has 20 divisors (see below), whose sum is σ = 204259000. Its totient is φ = 52493184.

The previous prime is 105205153. The next prime is 105205187. The reversal of 105205168 is 861502501.

It is a super-2 number, since 2×105205168² = 22136254747816448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1396 + ... + 14572.

It is an arithmetic number, because the mean of its divisors is an integer number (10212950).

Almost surely, 2^105205168 is an apocalyptic number.

It is an amenable number.

105205168 is a deficient number, since it is larger than the sum of its proper divisors (99053832).

105205168 is a wasteful number, since it uses less digits than its factorization.

105205168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13684 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105205168 is about 10256.9570536295. The cubic root of 105205168 is about 472.0764742506.

Adding to 105205168 its reverse (861502501), we get a palindrome (966707669).

The spelling of 105205168 in words is "one hundred five million, two hundred five thousand, one hundred sixty-eight".