105505106006106 has 96 divisors (see below), whose sum is σ = 240260417519616. Its totient is φ = 33418132308000.

The previous prime is 105505106006101. The next prime is 105505106006197. The reversal of 105505106006106 is 601600601505501.

It is a super-2 number, since 2×105505106006106² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505106006101) 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, 7089991 + ... + 16164101.

It is an arithmetic number, because the mean of its divisors is an integer number (2502712682496).

Almost surely, 2^{105505106006106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505106006106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120130208759808).

105505106006106 is an abundant number, since it is smaller than the sum of its proper divisors (134755311513510).

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

105505106006106 is a wasteful number, since it uses less digits than its factorization.

105505106006106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074528 (or 9074525 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105505106006106 in words is "one hundred five trillion, five hundred five billion, one hundred six million, six thousand, one hundred six".