1006105973 has 2 divisors, whose sum is σ = 1006105974. Its totient is φ = 1006105972.

The previous prime is 1006105949. The next prime is 1006105979. The reversal of 1006105973 is 3795016001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 910711684 + 95394289 = 30178^2 + 9767^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006105973 - 2⁶ = 1006105909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006105979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503052986 + 503052987.

It is an arithmetic number, because the mean of its divisors is an integer number (503052987).

Almost surely, 2^1006105973 is an apocalyptic number.

It is an amenable number.

1006105973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006105973 is an equidigital number, since it uses as much as digits as its factorization.

1006105973 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 32.

The square root of 1006105973 is about 31719.1735863342. The cubic root of 1006105973 is about 1002.0311957836.

The spelling of 1006105973 in words is "one billion, six million, one hundred five thousand, nine hundred seventy-three".