106005611061006 has 64 divisors (see below), whose sum is σ = 215562844358400. Its totient is φ = 34745210413056.

The previous prime is 106005611060971. The next prime is 106005611061013. The reversal of 106005611061006 is 600160116500601.

It is a super-2 number, since 2×106005611061006² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 627156501 + ... + 627325503.

It is an arithmetic number, because the mean of its divisors is an integer number (3368169443100).

Almost surely, 2^{106005611061006} is an apocalyptic number.

106005611061006 is an abundant number, since it is smaller than the sum of its proper divisors (109557233297394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106005611061006 is a wasteful number, since it uses less digits than its factorization.

106005611061006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171873.

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 106005611061006 its reverse (600160116500601), we get a palindrome (706165727561607).

The spelling of 106005611061006 in words is "one hundred six trillion, five billion, six hundred eleven million, sixty-one thousand, six".