105134212314 has 36 divisors (see below), whose sum is σ = 235916539326. Its totient is φ = 33836293344.

The previous prime is 105134212279. The next prime is 105134212367. The reversal of 105134212314 is 413212431501.

105134212314 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 421 + 231 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 88942922289 + 16191290025 = 298233^2 + 127245^2 .

It is a super-2 number, since 2×105134212314² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3457389 + ... + 3487664.

Almost surely, 2^105134212314 is an apocalyptic number.

105134212314 is an abundant number, since it is smaller than the sum of its proper divisors (130782327012).

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

105134212314 is a wasteful number, since it uses less digits than its factorization.

105134212314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945119 (or 6945087 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105134212314 its reverse (413212431501), we get a palindrome (518346643815).

The spelling of 105134212314 in words is "one hundred five billion, one hundred thirty-four million, two hundred twelve thousand, three hundred fourteen".