105131312 has 40 divisors (see below), whose sum is σ = 239307600. Its totient is φ = 44110080.

The previous prime is 105131309. The next prime is 105131329. The reversal of 105131312 is 213131501.

It is a super-2 number, since 2×105131312² = 22105185525682688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20687 + ... + 25262.

It is an arithmetic number, because the mean of its divisors is an integer number (5982690).

Almost surely, 2^105131312 is an apocalyptic number.

It is an amenable number.

105131312 is an abundant number, since it is smaller than the sum of its proper divisors (134176288).

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

105131312 is a wasteful number, since it uses less digits than its factorization.

105131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45981 (or 45975 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105131312 is about 10253.3561334814. The cubic root of 105131312 is about 471.9659795455.

Adding to 105131312 its reverse (213131501), we get a palindrome (318262813).

The spelling of 105131312 in words is "one hundred five million, one hundred thirty-one thousand, three hundred twelve".