1105006993 has 2 divisors, whose sum is σ = 1105006994. Its totient is φ = 1105006992.

The previous prime is 1105006979. The next prime is 1105007027. The reversal of 1105006993 is 3996005011.

It is an a-pointer prime, because the next prime (1105007027) can be obtained adding 1105006993 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 856849984 + 248157009 = 29272^2 + 15753^2 .

It is an emirp because it is prime and its reverse (3996005011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1105006993 - 2¹³ = 1104998801 is a prime.

1105006993 is a modest number, since divided by 6993 gives 1105 as remainder.

It is not a weakly prime, because it can be changed into another prime (1105006943) 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, 552503496 + 552503497.

It is an arithmetic number, because the mean of its divisors is an integer number (552503497).

Almost surely, 2^1105006993 is an apocalyptic number.

It is an amenable number.

1105006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105006993 is an equidigital number, since it uses as much as digits as its factorization.

1105006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 1105006993 is about 33241.6454616795. The cubic root of 1105006993 is about 1033.8439933016.

The spelling of 1105006993 in words is "one billion, one hundred five million, six thousand, nine hundred ninety-three".