105820533 has 48 divisors (see below), whose sum is σ = 194067840. Its totient is φ = 55800576.

The previous prime is 105820523. The next prime is 105820541. The reversal of 105820533 is 335028501.

105820533 is a `hidden beast` number, since 105 + 8 + 20 + 533 = 666.

It is not a de Polignac number, because 105820533 - 2²¹ = 103723381 is a prime.

It is a super-2 number, since 2×105820533² = 22395970408808178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105820497 and 105820506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30285 + ... + 33597.

It is an arithmetic number, because the mean of its divisors is an integer number (4043080).

Almost surely, 2^105820533 is an apocalyptic number.

105820533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105820533 is a deficient number, since it is larger than the sum of its proper divisors (88247307).

105820533 is a wasteful number, since it uses less digits than its factorization.

105820533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105820533 is about 10286.9107607678. The cubic root of 105820533 is about 472.9951071252.

The spelling of 105820533 in words is "one hundred five million, eight hundred twenty thousand, five hundred thirty-three".