105075105 has 16 divisors (see below), whose sum is σ = 170424960. Its totient is φ = 55271808.

The previous prime is 105075083. The next prime is 105075107. The reversal of 105075105 is 501570501.

It is not a de Polignac number, because 105075105 - 2¹⁷ = 104944033 is a prime.

It is a super-2 number, since 2×105075105² = 22081555381522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105075107) 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, 46885 + ... + 49074.

It is an arithmetic number, because the mean of its divisors is an integer number (10651560).

Almost surely, 2^105075105 is an apocalyptic number.

105075105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105075105 is a deficient number, since it is larger than the sum of its proper divisors (65349855).

105075105 is an equidigital number, since it uses as much as digits as its factorization.

105075105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96040.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105075105 is about 10250.6148596072. The cubic root of 105075105 is about 471.8818545267.

The spelling of 105075105 in words is "one hundred five million, seventy-five thousand, one hundred five".