101100106005 has 32 divisors (see below), whose sum is σ = 164079820800. Its totient is φ = 53147223360.

The previous prime is 101100106001. The next prime is 101100106013. The reversal of 101100106005 is 500601001101.

It is not a de Polignac number, because 101100106005 - 2² = 101100106001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100106001) 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, 5340046 + ... + 5358944.

It is an arithmetic number, because the mean of its divisors is an integer number (5127494400).

Almost surely, 2^101100106005 is an apocalyptic number.

101100106005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100106005 is a deficient number, since it is larger than the sum of its proper divisors (62979714795).

101100106005 is a wasteful number, since it uses less digits than its factorization.

101100106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101100106005 its reverse (500601001101), we get a palindrome (601701107106).

The spelling of 101100106005 in words is "one hundred one billion, one hundred million, one hundred six thousand, five".