20105267 has 16 divisors (see below), whose sum is σ = 25546752. Its totient is φ = 15392160.

The previous prime is 20105257. The next prime is 20105273. The reversal of 20105267 is 76250102.

It is not a de Polignac number, because 20105267 - 2⁴ = 20105251 is a prime.

It is a super-2 number, since 2×20105267² = 808443522282578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20105227) 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 15 ways as a sum of consecutive naturals, for example, 743 + ... + 6384.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 2^20105267 is an apocalyptic number.

20105267 is a deficient number, since it is larger than the sum of its proper divisors (5441485).

20105267 is a wasteful number, since it uses less digits than its factorization.

20105267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20105267 is about 4483.8897176447. The cubic root of 20105267 is about 271.9171595694.

Adding to 20105267 its reverse (76250102), we get a palindrome (96355369).

The spelling of 20105267 in words is "twenty million, one hundred five thousand, two hundred sixty-seven".