105118312 has 16 divisors (see below), whose sum is σ = 212258340. Its totient is φ = 48516096.

The previous prime is 105118309. The next prime is 105118331. The reversal of 105118312 is 213811501.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 3632836 = 10074^2 + 1906^2 .

It is a super-2 number, since 2×105118312² = 22099719035458688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505273 + ... + 505480.

Almost surely, 2^105118312 is an apocalyptic number.

It is an amenable number.

105118312 is an abundant number, since it is smaller than the sum of its proper divisors (107140028).

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

105118312 is a wasteful number, since it uses less digits than its factorization.

105118312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010772 (or 1010768 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 105118312 is about 10252.7221751104. The cubic root of 105118312 is about 471.9465251110.

Adding to 105118312 its reverse (213811501), we get a palindrome (318929813).

The spelling of 105118312 in words is "one hundred five million, one hundred eighteen thousand, three hundred twelve".