105792109 has 2 divisors, whose sum is σ = 105792110. Its totient is φ = 105792108.

The previous prime is 105792107. The next prime is 105792151. The reversal of 105792109 is 901297501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94381225 + 11410884 = 9715^2 + 3378^2 .

It is a cyclic number.

It is not a de Polignac number, because 105792109 - 2¹ = 105792107 is a prime.

It is a super-2 number, since 2×105792109² = 22383940653335762, which contains 22 as substring.

Together with 105792107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105792101) 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, 52896054 + 52896055.

It is an arithmetic number, because the mean of its divisors is an integer number (52896055).

Almost surely, 2^105792109 is an apocalyptic number.

It is an amenable number.

105792109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105792109 is an equidigital number, since it uses as much as digits as its factorization.

105792109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 105792109 is about 10285.5291064680. The cubic root of 105792109 is about 472.9527536031.

The spelling of 105792109 in words is "one hundred five million, seven hundred ninety-two thousand, one hundred nine".