105326312 has 64 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 41345280.

The previous prime is 105326311. The next prime is 105326341. The reversal of 105326312 is 213623501.

It is a super-2 number, since 2×105326312² = 22187263999042688, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105326311) 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 15 ways as a sum of consecutive naturals, for example, 107987 + ... + 108957.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2^105326312 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 105326312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

105326312 is an abundant number, since it is smaller than the sum of its proper divisors (139617688).

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

105326312 is a wasteful number, since it uses less digits than its factorization.

105326312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105326312 is about 10262.8608097353. The cubic root of 105326312 is about 472.2576038039.

Adding to 105326312 its reverse (213623501), we get a palindrome (318949813).

The spelling of 105326312 in words is "one hundred five million, three hundred twenty-six thousand, three hundred twelve".