105105275 has 24 divisors (see below), whose sum is σ = 142885200. Its totient is φ = 76060800.

The previous prime is 105105227. The next prime is 105105277. The reversal of 105105275 is 572501501.

It is a happy number.

It is not a de Polignac number, because 105105275 - 2¹⁴ = 105088891 is a prime.

It is a super-3 number, since 3×105105275³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105105277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62141 + ... + 63809.

It is an arithmetic number, because the mean of its divisors is an integer number (5953550).

Almost surely, 2^105105275 is an apocalyptic number.

105105275 is a deficient number, since it is larger than the sum of its proper divisors (37779925).

105105275 is a wasteful number, since it uses less digits than its factorization.

105105275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 105105275 is about 10252.0863730267. The cubic root of 105105275 is about 471.9270136954.

Adding to 105105275 its reverse (572501501), we get a palindrome (677606776).

The spelling of 105105275 in words is "one hundred five million, one hundred five thousand, two hundred seventy-five".