105003885 has 16 divisors (see below), whose sum is σ = 192007296. Its totient is φ = 48001728.

The previous prime is 105003859. The next prime is 105003887. The reversal of 105003885 is 588300501.

It is a happy number.

It is not a de Polignac number, because 105003885 - 2⁵ = 105003853 is a prime.

It is a super-2 number, since 2×105003885² = 22051631730186450, which contains 22 as substring.

105003885 is a modest number, since divided by 3885 gives 105 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105003887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499914 + ... + 500123.

It is an arithmetic number, because the mean of its divisors is an integer number (12000456).

Almost surely, 2^105003885 is an apocalyptic number.

105003885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105003885 is a deficient number, since it is larger than the sum of its proper divisors (87003411).

105003885 is a wasteful number, since it uses less digits than its factorization.

105003885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000052.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105003885 is about 10247.1403327953. The cubic root of 105003885 is about 471.7752164491.

The spelling of 105003885 in words is "one hundred five million, three thousand, eight hundred eighty-five".