105821047 has 2 divisors, whose sum is σ = 105821048. Its totient is φ = 105821046.

The previous prime is 105821003. The next prime is 105821059. The reversal of 105821047 is 740128501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105821047 - 2⁷ = 105820919 is a prime.

It is a super-2 number, since 2×105821047² = 22396187976352418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105821647) by changing a digit.

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 as a sum of consecutive naturals, namely, 52910523 + 52910524.

It is an arithmetic number, because the mean of its divisors is an integer number (52910524).

Almost surely, 2^105821047 is an apocalyptic number.

105821047 is a deficient number, since it is larger than the sum of its proper divisors (1).

105821047 is an equidigital number, since it uses as much as digits as its factorization.

105821047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 105821047 is about 10286.9357439424. The cubic root of 105821047 is about 472.9958729472.

Adding to 105821047 its reverse (740128501), we get a palindrome (845949548).

The spelling of 105821047 in words is "one hundred five million, eight hundred twenty-one thousand, forty-seven".