105806223 has 16 divisors (see below), whose sum is σ = 156921600. Its totient is φ = 70460280.

The previous prime is 105806213. The next prime is 105806237. The reversal of 105806223 is 322608501.

105806223 is a `hidden beast` number, since 1 + 0 + 580 + 62 + 23 = 666.

It is not a de Polignac number, because 105806223 - 2¹⁰ = 105805199 is a prime.

It is a super-2 number, since 2×105806223² = 22389913651051458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105806203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34128 + ... + 37098.

It is an arithmetic number, because the mean of its divisors is an integer number (9807600).

Almost surely, 2^105806223 is an apocalyptic number.

105806223 is a deficient number, since it is larger than the sum of its proper divisors (51115377).

105806223 is a wasteful number, since it uses less digits than its factorization.

105806223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105806223 is about 10286.2151931602. The cubic root of 105806223 is about 472.9737852862.

The spelling of 105806223 in words is "one hundred five million, eight hundred six thousand, two hundred twenty-three".