105809886 has 72 divisors (see below), whose sum is σ = 283767120. Its totient is φ = 27900288.

The previous prime is 105809881. The next prime is 105809909. The reversal of 105809886 is 688908501.

It is a super-2 number, since 2×105809886² = 22391463950665992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105809881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18810 + ... + 23778.

It is an arithmetic number, because the mean of its divisors is an integer number (3941210).

Almost surely, 2^105809886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105809886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141883560).

105809886 is an abundant number, since it is smaller than the sum of its proper divisors (177957234).

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

105809886 is a wasteful number, since it uses less digits than its factorization.

105809886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 105809886 is about 10286.3932454481. The cubic root of 105809886 is about 472.9792433236.

The spelling of 105809886 in words is "one hundred five million, eight hundred nine thousand, eight hundred eighty-six".