105233823 has 12 divisors (see below), whose sum is σ = 157634568. Its totient is φ = 70155720.

The previous prime is 105233801. The next prime is 105233827. The reversal of 105233823 is 328332501.

It is not a de Polignac number, because 105233823 - 2⁶ = 105233759 is a prime.

It is a super-2 number, since 2×105233823² = 22148315006390658, 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 (105233827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216288 + ... + 216773.

It is an arithmetic number, because the mean of its divisors is an integer number (13136214).

Almost surely, 2^105233823 is an apocalyptic number.

105233823 is a deficient number, since it is larger than the sum of its proper divisors (52400745).

105233823 is an frugal number, since it uses more digits than its factorization.

105233823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433076 (or 433064 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105233823 is about 10258.3538153058. The cubic root of 105233823 is about 472.1193305844.

The spelling of 105233823 in words is "one hundred five million, two hundred thirty-three thousand, eight hundred twenty-three".