105858873 has 24 divisors (see below), whose sum is σ = 158943840. Its totient is φ = 69629040.

The previous prime is 105858829. The next prime is 105858877. The reversal of 105858873 is 378858501.

It is a happy number.

105858873 is a `hidden beast` number, since 10 + 58 + 588 + 7 + 3 = 666.

It is not a de Polignac number, because 105858873 - 2¹⁰ = 105857849 is a prime.

It is a super-2 number, since 2×105858873² = 22412201985660258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105858877) 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, 611815 + ... + 611987.

It is an arithmetic number, because the mean of its divisors is an integer number (6622660).

Almost surely, 2^105858873 is an apocalyptic number.

It is an amenable number.

105858873 is a deficient number, since it is larger than the sum of its proper divisors (53084967).

105858873 is an equidigital number, since it uses as much as digits as its factorization.

105858873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 105858873 is about 10288.7741252299. The cubic root of 105858873 is about 473.0522240892.

The spelling of 105858873 in words is "one hundred five million, eight hundred fifty-eight thousand, eight hundred seventy-three".