105216312 has 16 divisors (see below), whose sum is σ = 263040840. Its totient is φ = 35072096.

The previous prime is 105216311. The next prime is 105216317. The reversal of 105216312 is 213612501.

It is a super-2 number, since 2×105216312² = 22140944621762688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216311) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 2191983 + ... + 2192030.

Almost surely, 2^105216312 is an apocalyptic number.

105216312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105216312 is an abundant number, since it is smaller than the sum of its proper divisors (157824528).

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

105216312 is a wasteful number, since it uses less digits than its factorization.

105216312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384022 (or 4384018 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105216312 is about 10257.5002802827. The cubic root of 105216312 is about 472.0931421089.

Adding to 105216312 its reverse (213612501), we get a palindrome (318828813).

The spelling of 105216312 in words is "one hundred five million, two hundred sixteen thousand, three hundred twelve".