106005611061005 has 8 divisors (see below), whose sum is σ = 130309336524024. Its totient is φ = 82736086681600.

The previous prime is 106005611060971. The next prime is 106005611061013. The reversal of 106005611061005 is 500160116500601.

It can be written as a sum of positive squares in 4 ways, for example, as 9913291537444 + 96092319523561 = 3148538^2 + 9802669^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106005611061005 - 2⁸ = 106005611060749 is a prime.

It is a super-2 number, since 2×106005611061005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 258550270676 + ... + 258550271085.

It is an arithmetic number, because the mean of its divisors is an integer number (16288667065503).

Almost surely, 2^{106005611061005} is an apocalyptic number.

It is an amenable number.

106005611061005 is a deficient number, since it is larger than the sum of its proper divisors (24303725463019).

106005611061005 is an equidigital number, since it uses as much as digits as its factorization.

106005611061005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517100541807.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 106005611061005 its reverse (500160116500601), we get a palindrome (606165727561606).

The spelling of 106005611061005 in words is "one hundred six trillion, five billion, six hundred eleven million, sixty-one thousand, five".