101105561106 has 96 divisors (see below), whose sum is σ = 240125446080. Its totient is φ = 30491136000.

The previous prime is 101105561093. The next prime is 101105561107. The reversal of 101105561106 is 601165501101.

101105561106 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 556 + 1 + 106 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101105561106.

It is not an unprimeable number, because it can be changed into a prime (101105561107) 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, 63150706 + ... + 63152306.

It is an arithmetic number, because the mean of its divisors is an integer number (2501306730).

Almost surely, 2^101105561106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105561106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120062723040).

101105561106 is an abundant number, since it is smaller than the sum of its proper divisors (139019884974).

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

101105561106 is a wasteful number, since it uses less digits than its factorization.

101105561106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 101105561106 in words is "one hundred one billion, one hundred five million, five hundred sixty-one thousand, one hundred six".