105065168 has 80 divisors (see below), whose sum is σ = 237859776. Its totient is φ = 44513280.

The previous prime is 105065159. The next prime is 105065189. The reversal of 105065168 is 861560501.

It is a happy number.

It is a super-2 number, since 2×105065168² = 22077379053736448, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151703 + ... + 152393.

Almost surely, 2^105065168 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 105065168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118929888).

105065168 is an abundant number, since it is smaller than the sum of its proper divisors (132794608).

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

105065168 is a wasteful number, since it uses less digits than its factorization.

105065168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105065168 is about 10250.1301455152. The cubic root of 105065168 is about 471.8669786979.

The spelling of 105065168 in words is "one hundred five million, sixty-five thousand, one hundred sixty-eight".