105784997 has 2 divisors, whose sum is σ = 105784998. Its totient is φ = 105784996.

The previous prime is 105784993. The next prime is 105785023. The reversal of 105784997 is 799487501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88529281 + 17255716 = 9409^2 + 4154^2 .

It is an emirp because it is prime and its reverse (799487501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105784997 - 2² = 105784993 is a prime.

It is a super-2 number, since 2×105784997² = 22380931180580018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105784993) 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, 52892498 + 52892499.

It is an arithmetic number, because the mean of its divisors is an integer number (52892499).

Almost surely, 2^105784997 is an apocalyptic number.

It is an amenable number.

105784997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105784997 is an equidigital number, since it uses as much as digits as its factorization.

105784997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 50.

The square root of 105784997 is about 10285.1833722107. The cubic root of 105784997 is about 472.9421550956.

The spelling of 105784997 in words is "one hundred five million, seven hundred eighty-four thousand, nine hundred ninety-seven".