10706778006829 has 2 divisors, whose sum is σ = 10706778006830. Its totient is φ = 10706778006828.

The previous prime is 10706778006733. The next prime is 10706778006851. The reversal of 10706778006829 is 92860087760701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9872779841604 + 833998165225 = 3142098^2 + 913235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10706778006829 - 2¹¹ = 10706778004781 is a prime.

It is a super-2 number, since 2×10706778006829² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10706778006229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5353389003414 + 5353389003415.

It is an arithmetic number, because the mean of its divisors is an integer number (5353389003415).

Almost surely, 2^{10706778006829} is an apocalyptic number.

It is an amenable number.

10706778006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10706778006829 is an equidigital number, since it uses as much as digits as its factorization.

10706778006829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14224896, while the sum is 61.

The spelling of 10706778006829 in words is "ten trillion, seven hundred six billion, seven hundred seventy-eight million, six thousand, eight hundred twenty-nine".