105804933 has 8 divisors (see below), whose sum is σ = 151925088. Its totient is φ = 65110704.

The previous prime is 105804929. The next prime is 105804947. The reversal of 105804933 is 339408501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105804933 - 2² = 105804929 is a prime.

It is a super-2 number, since 2×105804933² = 22389367694268978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105804894 and 105804903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105804233) 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 7 ways as a sum of consecutive naturals, for example, 1356435 + ... + 1356512.

It is an arithmetic number, because the mean of its divisors is an integer number (18990636).

Almost surely, 2^105804933 is an apocalyptic number.

105804933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105804933 is a deficient number, since it is larger than the sum of its proper divisors (46120155).

105804933 is a wasteful number, since it uses less digits than its factorization.

105804933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712963.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105804933 is about 10286.1524876895. The cubic root of 105804933 is about 472.9718630972.

The spelling of 105804933 in words is "one hundred five million, eight hundred four thousand, nine hundred thirty-three".