106829334713 has 2 divisors, whose sum is σ = 106829334714. Its totient is φ = 106829334712.

The previous prime is 106829334691. The next prime is 106829334737. The reversal of 106829334713 is 317433928601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100015327504 + 6814007209 = 316252^2 + 82547^2 .

It is a cyclic number.

It is not a de Polignac number, because 106829334713 - 2²⁶ = 106762225849 is a prime.

It is a super-2 number, since 2×106829334713² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106829304713) 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, 53414667356 + 53414667357.

It is an arithmetic number, because the mean of its divisors is an integer number (53414667357).

Almost surely, 2^106829334713 is an apocalyptic number.

It is an amenable number.

106829334713 is a deficient number, since it is larger than the sum of its proper divisors (1).

106829334713 is an equidigital number, since it uses as much as digits as its factorization.

106829334713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 106829334713 in words is "one hundred six billion, eight hundred twenty-nine million, three hundred thirty-four thousand, seven hundred thirteen".