10101566106 has 128 divisors (see below), whose sum is σ = 24429081600. Its totient is φ = 3083572800.

The previous prime is 10101566099. The next prime is 10101566159. The reversal of 10101566106 is 60166510101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10101566106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4454785 + ... + 4457051.

It is an arithmetic number, because the mean of its divisors is an integer number (190852200).

Almost surely, 2^10101566106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101566106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214540800).

10101566106 is an abundant number, since it is smaller than the sum of its proper divisors (14327515494).

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

10101566106 is a wasteful number, since it uses less digits than its factorization.

10101566106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10101566106 in words is "ten billion, one hundred one million, five hundred sixty-six thousand, one hundred six".