101006105005 has 32 divisors (see below), whose sum is σ = 131293701504. Its totient is φ = 74154237696.

The previous prime is 101006105003. The next prime is 101006105023. The reversal of 101006105005 is 500501600101.

It is a cyclic number.

It is not a de Polignac number, because 101006105005 - 2¹ = 101006105003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006105003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11165014 + ... + 11174056.

It is an arithmetic number, because the mean of its divisors is an integer number (4102928172).

Almost surely, 2^101006105005 is an apocalyptic number.

It is an amenable number.

101006105005 is a deficient number, since it is larger than the sum of its proper divisors (30287596499).

101006105005 is a wasteful number, since it uses less digits than its factorization.

101006105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 101006105005 its reverse (500501600101), we get a palindrome (601507705106).

The spelling of 101006105005 in words is "one hundred one billion, six million, one hundred five thousand, five".