10566106000 has 80 divisors (see below), whose sum is σ = 25613293680. Its totient is φ = 4215782400.

The previous prime is 10566105997. The next prime is 10566106009. The reversal of 10566106000 is 60166501.

It can be written as a sum of positive squares in 8 ways, for example, as 1162537216 + 9403568784 = 34096^2 + 96972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10566106000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10566106009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811542 + ... + 824458.

It is an arithmetic number, because the mean of its divisors is an integer number (320166171).

Almost surely, 2^10566106000 is an apocalyptic number.

10566106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10566106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806646840).

10566106000 is an abundant number, since it is smaller than the sum of its proper divisors (15047187680).

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

10566106000 is a wasteful number, since it uses less digits than its factorization.

10566106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10566106000 in words is "ten billion, five hundred sixty-six million, one hundred six thousand".