105823007 has 2 divisors, whose sum is σ = 105823008. Its totient is φ = 105823006.

The previous prime is 105822971. The next prime is 105823019. The reversal of 105823007 is 700328501.

It is a strong prime.

It is an emirp because it is prime and its reverse (700328501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105823007 - 2¹⁰ = 105821983 is a prime.

It is a super-2 number, since 2×105823007² = 22397017621044098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105823097) 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, 52911503 + 52911504.

It is an arithmetic number, because the mean of its divisors is an integer number (52911504).

Almost surely, 2^105823007 is an apocalyptic number.

105823007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105823007 is an equidigital number, since it uses as much as digits as its factorization.

105823007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105823007 is about 10287.0310099659. The cubic root of 105823007 is about 472.9987931797.

The spelling of 105823007 in words is "one hundred five million, eight hundred twenty-three thousand, seven".