105805336 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 39029760.

The previous prime is 105805333. The next prime is 105805339. The reversal of 105805336 is 633508501.

It is an interprime number because it is at equal distance from previous prime (105805333) and next prime (105805339).

It is a super-2 number, since 2×105805336² = 22389538252145792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105805298 and 105805307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105805333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1188780 + ... + 1188868.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^105805336 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 105805336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

105805336 is an abundant number, since it is smaller than the sum of its proper divisors (155468264).

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

105805336 is a wasteful number, since it uses less digits than its factorization.

105805336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105805336 is about 10286.1720771140. The cubic root of 105805336 is about 472.9724635967.

The spelling of 105805336 in words is "one hundred five million, eight hundred five thousand, three hundred thirty-six".