105005275 has 6 divisors (see below), whose sum is σ = 130206572. Its totient is φ = 84004200.

The previous prime is 105005261. The next prime is 105005279. The reversal of 105005275 is 572500501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105005275 is a prime.

It is a super-2 number, since 2×105005275² = 22052215555651250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4200211 = 105005275 / (1 + 0 + 5 + 0 + 0 + 5 + 2 + 7 + 5).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005279) 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 5 ways as a sum of consecutive naturals, for example, 2100081 + ... + 2100130.

Almost surely, 2^105005275 is an apocalyptic number.

105005275 is a deficient number, since it is larger than the sum of its proper divisors (25201297).

105005275 is an equidigital number, since it uses as much as digits as its factorization.

105005275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200221 (or 4200216 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 105005275 is about 10247.2081563712. The cubic root of 105005275 is about 471.7772981647. Note that the first 3 decimals are identical.

Adding to 105005275 its reverse (572500501), we get a palindrome (677505776).

The spelling of 105005275 in words is "one hundred five million, five thousand, two hundred seventy-five".