105284853 has 12 divisors (see below), whose sum is σ = 157711008. Its totient is φ = 70189740.

The previous prime is 105284813. The next prime is 105284857. The reversal of 105284853 is 358482501.

It is a happy number.

It is not a de Polignac number, because 105284853 - 2⁶ = 105284789 is a prime.

It is a super-2 number, since 2×105284853² = 22169800542463218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105284857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216393 + ... + 216878.

It is an arithmetic number, because the mean of its divisors is an integer number (13142584).

Almost surely, 2^105284853 is an apocalyptic number.

It is an amenable number.

105284853 is a deficient number, since it is larger than the sum of its proper divisors (52426155).

105284853 is an frugal number, since it uses more digits than its factorization.

105284853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433286 (or 433274 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 105284853 is about 10260.8407550259. The cubic root of 105284853 is about 472.1956316428.

It can be divided in two parts, 1052 and 84853, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 105284853 in words is "one hundred five million, two hundred eighty-four thousand, eight hundred fifty-three".