105620833 has 2 divisors, whose sum is σ = 105620834. Its totient is φ = 105620832.

The previous prime is 105620821. The next prime is 105620843. The reversal of 105620833 is 338026501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 43652449 = 7872^2 + 6607^2 .

It is an emirp because it is prime and its reverse (338026501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105620833 - 2⁹ = 105620321 is a prime.

It is a super-2 number, since 2×105620833² = 22311520727227778, which contains 22 as substring.

It is equal to p_6066262 and since 105620833 and 6066262 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105620803) 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 as a sum of consecutive naturals, namely, 52810416 + 52810417.

It is an arithmetic number, because the mean of its divisors is an integer number (52810417).

Almost surely, 2^105620833 is an apocalyptic number.

It is an amenable number.

105620833 is a deficient number, since it is larger than the sum of its proper divisors (1).

105620833 is an equidigital number, since it uses as much as digits as its factorization.

105620833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105620833 is about 10277.1996672245. The cubic root of 105620833 is about 472.6973810252.

The spelling of 105620833 in words is "one hundred five million, six hundred twenty thousand, eight hundred thirty-three".