10006166505 has 32 divisors (see below), whose sum is σ = 16091187840. Its totient is φ = 5309573120.

The previous prime is 10006166497. The next prime is 10006166579. The reversal of 10006166505 is 50566160001.

It is not a de Polignac number, because 10006166505 - 2³ = 10006166497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4401049 + ... + 4403321.

It is an arithmetic number, because the mean of its divisors is an integer number (502849620).

Almost surely, 2^10006166505 is an apocalyptic number.

10006166505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006166505 is a deficient number, since it is larger than the sum of its proper divisors (6085021335).

10006166505 is a wasteful number, since it uses less digits than its factorization.

10006166505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10006166505 in words is "ten billion, six million, one hundred sixty-six thousand, five hundred five".