101061105605 has 12 divisors (see below), whose sum is σ = 123363666732. Its totient is φ = 79478550720.

The previous prime is 101061105577. The next prime is 101061105641. The reversal of 101061105605 is 506501160101.

It can be written as a sum of positive squares in 2 ways, for example, as 75041479969 + 26019625636 = 273937^2 + 161306^2 .

It is not a de Polignac number, because 101061105605 - 2⁸ = 101061105349 is a prime.

It is a super-2 number, since 2×101061105605² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2885816 + ... + 2920625.

It is an arithmetic number, because the mean of its divisors is an integer number (10280305561).

Almost surely, 2^101061105605 is an apocalyptic number.

It is an amenable number.

101061105605 is a deficient number, since it is larger than the sum of its proper divisors (22302561127).

101061105605 is an frugal number, since it uses more digits than its factorization.

101061105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806564 (or 5806505 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 101061105605 its reverse (506501160101), we get a palindrome (607562265706).

The spelling of 101061105605 in words is "one hundred one billion, sixty-one million, one hundred five thousand, six hundred five".