22113105066 has 96 divisors (see below), whose sum is σ = 52925680080. Its totient is φ = 6629299200.

The previous prime is 22113105061. The next prime is 22113105067. The reversal of 22113105066 is 66050131122.

22113105066 is a `hidden beast` number, since 2 + 21 + 131 + 0 + 506 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1956204441 + 20156900625 = 44229^2 + 141975^2 .

It is not an unprimeable number, because it can be changed into a prime (22113105061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13248480 + ... + 13250148.

Almost surely, 2^22113105066 is an apocalyptic number.

22113105066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113105066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462840040).

22113105066 is an abundant number, since it is smaller than the sum of its proper divisors (30812575014).

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

22113105066 is a wasteful number, since it uses less digits than its factorization.

22113105066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 22113105066 its reverse (66050131122), we get a palindrome (88163236188).

The spelling of 22113105066 in words is "twenty-two billion, one hundred thirteen million, one hundred five thousand, sixty-six".