23205105 has 96 divisors (see below), whose sum is σ = 51787008. Its totient is φ = 9331200.

The previous prime is 23205067. The next prime is 23205107. The reversal of 23205105 is 50150232.

It is a happy number.

It is not a de Polignac number, because 23205105 - 2⁸ = 23204849 is a prime.

It is a super-2 number, since 2×23205105² = 1076953796122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23205107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128115 + ... + 128295.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 2^23205105 is an apocalyptic number.

It is an amenable number.

23205105 is an abundant number, since it is smaller than the sum of its proper divisors (28581903).

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

23205105 is a wasteful number, since it uses less digits than its factorization.

23205105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 23205105 is about 4817.1677363364. The cubic root of 23205105 is about 285.2295472916.

Adding to 23205105 its reverse (50150232), we get a palindrome (73355337).

The spelling of 23205105 in words is "twenty-three million, two hundred five thousand, one hundred five".