105075873 has 56 divisors (see below), whose sum is σ = 183624000. Its totient is φ = 58856544.

The previous prime is 105075857. The next prime is 105075889. The reversal of 105075873 is 378570501.

It is an interprime number because it is at equal distance from previous prime (105075857) and next prime (105075889).

It is not a de Polignac number, because 105075873 - 2⁴ = 105075857 is a prime.

It is a super-2 number, since 2×105075873² = 22081878173424258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105075853) 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 55 ways as a sum of consecutive naturals, for example, 300903 + ... + 301251.

It is an arithmetic number, because the mean of its divisors is an integer number (3279000).

Almost surely, 2^105075873 is an apocalyptic number.

It is an amenable number.

105075873 is a deficient number, since it is larger than the sum of its proper divisors (78548127).

105075873 is an frugal number, since it uses more digits than its factorization.

105075873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 105075873 is about 10250.6523207062. The cubic root of 105075873 is about 471.8830041944.

The spelling of 105075873 in words is "one hundred five million, seventy-five thousand, eight hundred seventy-three".