105683312 has 20 divisors (see below), whose sum is σ = 234013296. Its totient is φ = 45292800.

The previous prime is 105683311. The next prime is 105683323. The reversal of 105683312 is 213386501.

It is a super-2 number, since 2×105683312² = 22337924870578688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471689 + ... + 471912.

Almost surely, 2^105683312 is an apocalyptic number.

It is an amenable number.

105683312 is an abundant number, since it is smaller than the sum of its proper divisors (128329984).

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

105683312 is an equidigital number, since it uses as much as digits as its factorization.

105683312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943616 (or 943610 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105683312 is about 10280.2389077297. The cubic root of 105683312 is about 472.7905692006.

The spelling of 105683312 in words is "one hundred five million, six hundred eighty-three thousand, three hundred twelve".