1000106329 has 2 divisors, whose sum is σ = 1000106330. Its totient is φ = 1000106328.

The previous prime is 1000106323. The next prime is 1000106339. The reversal of 1000106329 is 9236010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 766016329 + 234090000 = 27677^2 + 15300^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000106329 - 2³ = 1000106321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000106321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500053164 + 500053165.

It is an arithmetic number, because the mean of its divisors is an integer number (500053165).

Almost surely, 2^1000106329 is an apocalyptic number.

It is an amenable number.

1000106329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000106329 is an equidigital number, since it uses as much as digits as its factorization.

1000106329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1000106329 is about 31624.4577661025. The cubic root of 1000106329 is about 1000.0354417439.

The spelling of 1000106329 in words is "one billion, one hundred six thousand, three hundred twenty-nine".