105316368 has 40 divisors (see below), whose sum is σ = 272527200. Its totient is φ = 35046144.

The previous prime is 105316363. The next prime is 105316381. The reversal of 105316368 is 863613501.

It is a super-2 number, since 2×105316368² = 22183074737422848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105316361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33988 + ... + 36956.

It is an arithmetic number, because the mean of its divisors is an integer number (6813180).

Almost surely, 2^105316368 is an apocalyptic number.

It is an amenable number.

105316368 is an abundant number, since it is smaller than the sum of its proper divisors (167210832).

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

105316368 is a wasteful number, since it uses less digits than its factorization.

105316368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105316368 is about 10262.3763329942. The cubic root of 105316368 is about 472.2427411758.

Adding to 105316368 its reverse (863613501), we get a palindrome (968929869).

The spelling of 105316368 in words is "one hundred five million, three hundred sixteen thousand, three hundred sixty-eight".