105071267 has 16 divisors (see below), whose sum is σ = 122614272. Its totient is φ = 88179840.

The previous prime is 105071261. The next prime is 105071279. The reversal of 105071267 is 762170501.

It is not a de Polignac number, because 105071267 - 2⁴ = 105071251 is a prime.

It is a super-2 number, since 2×105071267² = 22079942297970578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105071261) 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, 80363 + ... + 81659.

It is an arithmetic number, because the mean of its divisors is an integer number (7663392).

Almost surely, 2^105071267 is an apocalyptic number.

105071267 is a deficient number, since it is larger than the sum of its proper divisors (17543005).

105071267 is a wasteful number, since it uses less digits than its factorization.

105071267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 105071267 is about 10250.4276496154. The cubic root of 105071267 is about 471.8761090979.

The spelling of 105071267 in words is "one hundred five million, seventy-one thousand, two hundred sixty-seven".