105305312 has 72 divisors (see below), whose sum is σ = 243038880. Its totient is φ = 44782080.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305312 is 213503501.

It is a super-2 number, since 2×105305312² = 22178417470834688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374612 + ... + 374892.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2^105305312 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 105305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121519440).

105305312 is an abundant number, since it is smaller than the sum of its proper divisors (137733568).

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

105305312 is a wasteful number, since it uses less digits than its factorization.

105305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105305312 is about 10261.8376521947. The cubic root of 105305312 is about 472.2262154177.

Adding to 105305312 its reverse (213503501), we get a palindrome (318808813).

The spelling of 105305312 in words is "one hundred five million, three hundred five thousand, three hundred twelve".