105107375 has 8 divisors (see below), whose sum is σ = 131174160. Its totient is φ = 84085800.

The previous prime is 105107293. The next prime is 105107377. The reversal of 105107375 is 573701501.

It is not a de Polignac number, because 105107375 - 2²⁴ = 88330159 is a prime.

It is a super-2 number, since 2×105107375² = 22095120558781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420305 + ... + 420554.

It is an arithmetic number, because the mean of its divisors is an integer number (16396770).

Almost surely, 2^105107375 is an apocalyptic number.

105107375 is a deficient number, since it is larger than the sum of its proper divisors (26066785).

105107375 is an frugal number, since it uses more digits than its factorization.

105107375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840874 (or 840864 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 105107375 is about 10252.1887906925. The cubic root of 105107375 is about 471.9301567033.

Adding to 105107375 its reverse (573701501), we get a palindrome (678808876).

The spelling of 105107375 in words is "one hundred five million, one hundred seven thousand, three hundred seventy-five".