105123168 has 144 divisors (see below), whose sum is σ = 312058656. Its totient is φ = 33546240.

The previous prime is 105123163. The next prime is 105123169. The reversal of 105123168 is 861321501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105123168² = 22101760900712448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083696 + ... + 1083792.

It is an arithmetic number, because the mean of its divisors is an integer number (2167074).

Almost surely, 2^105123168 is an apocalyptic number.

105123168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105123168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

105123168 is an abundant number, since it is smaller than the sum of its proper divisors (206935488).

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

105123168 is a wasteful number, since it uses less digits than its factorization.

105123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105123168 is about 10252.9589875314. The cubic root of 105123168 is about 471.9537922782.

Adding to 105123168 its reverse (861321501), we get a palindrome (966444669).

The spelling of 105123168 in words is "one hundred five million, one hundred twenty-three thousand, one hundred sixty-eight".