105645387882 has 64 divisors (see below), whose sum is σ = 222835286016. Its totient is φ = 33325680960.

The previous prime is 105645387853. The next prime is 105645387893. The reversal of 105645387882 is 288783546501.

105645387882 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105645387882² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5005632 + ... + 5026692.

It is an arithmetic number, because the mean of its divisors is an integer number (3481801344).

Almost surely, 2^105645387882 is an apocalyptic number.

105645387882 is an abundant number, since it is smaller than the sum of its proper divisors (117189898134).

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

105645387882 is a wasteful number, since it uses less digits than its factorization.

105645387882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21475.

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 105645387882 in words is "one hundred five billion, six hundred forty-five million, three hundred eighty-seven thousand, eight hundred eighty-two".