105819868 has 48 divisors (see below), whose sum is σ = 233856000. Its totient is φ = 40697280.

The previous prime is 105819841. The next prime is 105819877. The reversal of 105819868 is 868918501.

It is a super-2 number, since 2×105819868² = 22395688927074848, which 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 15 ways as a sum of consecutive naturals, for example, 22158 + ... + 26506.

It is an arithmetic number, because the mean of its divisors is an integer number (4872000).

Almost surely, 2^105819868 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 105819868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928000).

105819868 is an abundant number, since it is smaller than the sum of its proper divisors (128036132).

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

105819868 is a wasteful number, since it uses less digits than its factorization.

105819868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 105819868 is about 10286.8784380880. The cubic root of 105819868 is about 472.9941163206.

It can be divided in two parts, 10581 and 9868, that added together give a square (20449 = 143²).

The spelling of 105819868 in words is "one hundred five million, eight hundred nineteen thousand, eight hundred sixty-eight".