105416305314 has 16 divisors (see below), whose sum is σ = 211582908000. Its totient is φ = 35013718880.

The previous prime is 105416305279. The next prime is 105416305331. The reversal of 105416305314 is 413503614501.

It is a happy number.

It is a super-2 number, since 2×105416305314² (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 7 ways as a sum of consecutive naturals, for example, 31260564 + ... + 31263935.

It is an arithmetic number, because the mean of its divisors is an integer number (13223931750).

Almost surely, 2^105416305314 is an apocalyptic number.

105416305314 is an abundant number, since it is smaller than the sum of its proper divisors (106166602686).

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

105416305314 is a wasteful number, since it uses less digits than its factorization.

105416305314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62524785.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105416305314 its reverse (413503614501), we get a palindrome (518919919815).

The spelling of 105416305314 in words is "one hundred five billion, four hundred sixteen million, three hundred five thousand, three hundred fourteen".