100344512629 has 2 divisors, whose sum is σ = 100344512630. Its totient is φ = 100344512628.

The previous prime is 100344512599. The next prime is 100344512663. The reversal of 100344512629 is 926215443001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73045872900 + 27298639729 = 270270^2 + 165223^2 .

It is a cyclic number.

It is not a de Polignac number, because 100344512629 - 2¹⁵ = 100344479861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100344582629) 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, 50172256314 + 50172256315.

It is an arithmetic number, because the mean of its divisors is an integer number (50172256315).

Almost surely, 2^100344512629 is an apocalyptic number.

It is an amenable number.

100344512629 is a deficient number, since it is larger than the sum of its proper divisors (1).

100344512629 is an equidigital number, since it uses as much as digits as its factorization.

100344512629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 100344512629 in words is "one hundred billion, three hundred forty-four million, five hundred twelve thousand, six hundred twenty-nine".