105123267 has 12 divisors (see below), whose sum is σ = 151968960. Its totient is φ = 70024848.

The previous prime is 105123233. The next prime is 105123269. The reversal of 105123267 is 762321501.

It is a happy number.

It is not a de Polignac number, because 105123267 - 2²⁴ = 88346051 is a prime.

It is a super-2 number, since 2×105123267² = 22101802529506578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105123267.

It is not an unprimeable number, because it can be changed into a prime (105123269) 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 11 ways as a sum of consecutive naturals, for example, 8893 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (12664080).

Almost surely, 2^105123267 is an apocalyptic number.

105123267 is a deficient number, since it is larger than the sum of its proper divisors (46845693).

105123267 is a wasteful number, since it uses less digits than its factorization.

105123267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105123267 is about 10252.9638154048. The cubic root of 105123267 is about 471.9539404327.

Adding to 105123267 its reverse (762321501), we get a palindrome (867444768).

The spelling of 105123267 in words is "one hundred five million, one hundred twenty-three thousand, two hundred sixty-seven".