101051106006 has 16 divisors (see below), whose sum is σ = 202123123200. Its totient is φ = 33680216808.

The previous prime is 101051105999. The next prime is 101051106011. The reversal of 101051106006 is 600601150101.

It is a super-2 number, since 2×101051106006² (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808126 + ... + 924753.

It is an arithmetic number, because the mean of its divisors is an integer number (12632695200).

Almost surely, 2^101051106006 is an apocalyptic number.

101051106006 is an abundant number, since it is smaller than the sum of its proper divisors (101072017194).

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

101051106006 is a wasteful number, since it uses less digits than its factorization.

101051106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742603.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 101051106006 its reverse (600601150101), we get a palindrome (701652256107).

It can be divided in two parts, 10105 and 1106006, that added together give a palindrome (1116111).

The spelling of 101051106006 in words is "one hundred one billion, fifty-one million, one hundred six thousand, six".