1000106104993 has 2 divisors, whose sum is σ = 1000106104994. Its totient is φ = 1000106104992.

The previous prime is 1000106104913. The next prime is 1000106105027. The reversal of 1000106104993 is 3994016010001.

It is a happy number.

It is an a-pointer prime, because the next prime (1000106105027) can be obtained adding 1000106104993 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677019587344 + 323086517649 = 822812^2 + 568407^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000106104993 - 2²¹ = 1000104007841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000106104913) 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, 500053052496 + 500053052497.

It is an arithmetic number, because the mean of its divisors is an integer number (500053052497).

Almost surely, 2^{1000106104993} is an apocalyptic number.

It is an amenable number.

1000106104993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000106104993 is an equidigital number, since it uses as much as digits as its factorization.

1000106104993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 1000106104993 in words is "one trillion, one hundred six million, one hundred four thousand, nine hundred ninety-three".