106006061056031 has 2 divisors, whose sum is σ = 106006061056032. Its totient is φ = 106006061056030.

The previous prime is 106006061055989. The next prime is 106006061056099. The reversal of 106006061056031 is 130650160600601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106006061056031 - 2¹⁰ = 106006061055007 is a prime.

It is a super-3 number, since 3×106006061056031³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106006061055982 and 106006061056000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106006061058031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53003030528015 + 53003030528016.

It is an arithmetic number, because the mean of its divisors is an integer number (53003030528016).

Almost surely, 2^{106006061056031} is an apocalyptic number.

106006061056031 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006061056031 is an equidigital number, since it uses as much as digits as its factorization.

106006061056031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 106006061056031 in words is "one hundred six trillion, six billion, sixty-one million, fifty-six thousand, thirty-one".