105852892 has 12 divisors (see below), whose sum is σ = 185368960. Its totient is φ = 52890336.

The previous prime is 105852889. The next prime is 105852907. The reversal of 105852892 is 298258501.

It is a super-2 number, since 2×105852892² = 22409669489527328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1788 + ... + 14659.

Almost surely, 2^105852892 is an apocalyptic number.

It is an amenable number.

105852892 is a deficient number, since it is larger than the sum of its proper divisors (79516068).

105852892 is a wasteful number, since it uses less digits than its factorization.

105852892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18060 (or 18058 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 105852892 is about 10288.4834645345. The cubic root of 105852892 is about 473.0433148104.

The spelling of 105852892 in words is "one hundred five million, eight hundred fifty-two thousand, eight hundred ninety-two".