105845288316 has 24 divisors (see below), whose sum is σ = 253647268560. Its totient is φ = 34328201472.

The previous prime is 105845288287. The next prime is 105845288413. The reversal of 105845288316 is 613882548501.

It is a super-2 number, since 2×105845288316² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 119194701 + ... + 119195588.

It is an arithmetic number, because the mean of its divisors is an integer number (10568636190).

Almost surely, 2^105845288316 is an apocalyptic number.

It is an amenable number.

105845288316 is an abundant number, since it is smaller than the sum of its proper divisors (147801980244).

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

105845288316 is a wasteful number, since it uses less digits than its factorization.

105845288316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238390333 (or 238390331 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 105845288316 in words is "one hundred five billion, eight hundred forty-five million, two hundred eighty-eight thousand, three hundred sixteen".