105810839872 has 56 divisors (see below), whose sum is σ = 215242517952. Its totient is φ = 51578342400.

The previous prime is 105810839861. The next prime is 105810839909. The reversal of 105810839872 is 278938018501.

It is a happy number.

It is a super-3 number, since 3×105810839872³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3877797 + ... + 3904987.

It is an arithmetic number, because the mean of its divisors is an integer number (3843616392).

Almost surely, 2^105810839872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105810839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107621258976).

105810839872 is an abundant number, since it is smaller than the sum of its proper divisors (109431678080).

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

105810839872 is a wasteful number, since it uses less digits than its factorization.

105810839872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28727 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 105810839872 in words is "one hundred five billion, eight hundred ten million, eight hundred thirty-nine thousand, eight hundred seventy-two".