10166566100 has 36 divisors (see below), whose sum is σ = 23359184604. Its totient is φ = 3827412480.

The previous prime is 10166566093. The next prime is 10166566103. The reversal of 10166566100 is 166566101.

It can be written as a sum of positive squares in 6 ways, for example, as 103266244 + 10063299856 = 10162^2 + 100316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166566103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2988467 + ... + 2991866.

It is an arithmetic number, because the mean of its divisors is an integer number (648866239).

Almost surely, 2^10166566100 is an apocalyptic number.

10166566100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166566100 is an abundant number, since it is smaller than the sum of its proper divisors (13192618504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10166566100 is a wasteful number, since it uses less digits than its factorization.

10166566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980364 (or 5980357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Subtracting from 10166566100 its reverse (166566101), we obtain a palindrome (9999999999).

The spelling of 10166566100 in words is "ten billion, one hundred sixty-six million, five hundred sixty-six thousand, one hundred".