101061106005 has 32 divisors (see below), whose sum is σ = 163978577280. Its totient is φ = 53142425600.

The previous prime is 101061105953. The next prime is 101061106009. The reversal of 101061106005 is 500601160101.

It is not a de Polignac number, because 101061106005 - 2⁹ = 101061105493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101061106009) 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, 364030 + ... + 578480.

It is an arithmetic number, because the mean of its divisors is an integer number (5124330540).

Almost surely, 2^101061106005 is an apocalyptic number.

101061106005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101061106005 is a deficient number, since it is larger than the sum of its proper divisors (62917471275).

101061106005 is a wasteful number, since it uses less digits than its factorization.

101061106005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214901.

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

Adding to 101061106005 its reverse (500601160101), we get a palindrome (601662266106).

It can be divided in two parts, 10106 and 1106005, that added together give a palindrome (1116111).

The spelling of 101061106005 in words is "one hundred one billion, sixty-one million, one hundred six thousand, five".