1005792101 has 2 divisors, whose sum is σ = 1005792102. Its totient is φ = 1005792100.

The previous prime is 1005792089. The next prime is 1005792143. The reversal of 1005792101 is 1012975001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 726033025 + 279759076 = 26945^2 + 16726^2 .

It is an emirp because it is prime and its reverse (1012975001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005792101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005792191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502896050 + 502896051.

It is an arithmetic number, because the mean of its divisors is an integer number (502896051).

Almost surely, 2^1005792101 is an apocalyptic number.

It is an amenable number.

1005792101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005792101 is an equidigital number, since it uses as much as digits as its factorization.

1005792101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 1005792101 is about 31714.2255305092. The cubic root of 1005792101 is about 1001.9269846782.

The spelling of 1005792101 in words is "one billion, five million, seven hundred ninety-two thousand, one hundred one".