101566106505 has 24 divisors (see below), whose sum is σ = 176882284800. Its totient is φ = 53911861920.

The previous prime is 101566106497. The next prime is 101566106519. The reversal of 101566106505 is 505601665101.

It is not a de Polignac number, because 101566106505 - 2³ = 101566106497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101566106505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338905 + ... + 5357894.

It is an arithmetic number, because the mean of its divisors is an integer number (7370095200).

Almost surely, 2^101566106505 is an apocalyptic number.

101566106505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101566106505 is a deficient number, since it is larger than the sum of its proper divisors (75316178295).

101566106505 is a wasteful number, since it uses less digits than its factorization.

101566106505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697021 (or 10697018 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 101566106505 in words is "one hundred one billion, five hundred sixty-six million, one hundred six thousand, five hundred five".