105871490629633 has 2 divisors, whose sum is σ = 105871490629634. Its totient is φ = 105871490629632.

The previous prime is 105871490629627. The next prime is 105871490629661. The reversal of 105871490629633 is 336926094178501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93088091279089 + 12783399350544 = 9648217^2 + 3575388^2 .

It is a cyclic number.

It is not a de Polignac number, because 105871490629633 - 2¹³ = 105871490621441 is a prime.

It is a super-2 number, since 2×105871490629633² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105871490629033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52935745314816 + 52935745314817.

It is an arithmetic number, because the mean of its divisors is an integer number (52935745314817).

It is a 1-persistent number, because it is pandigital, but 2⋅105871490629633 = 211742981259266 is not.

Almost surely, 2^{105871490629633} is an apocalyptic number.

It is an amenable number.

105871490629633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105871490629633 is an equidigital number, since it uses as much as digits as its factorization.

105871490629633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 105871490629633 in words is "one hundred five trillion, eight hundred seventy-one billion, four hundred ninety million, six hundred twenty-nine thousand, six hundred thirty-three".