101106105606 has 80 divisors (see below), whose sum is σ = 247254871248. Its totient is φ = 30624998400.

The previous prime is 101106105577. The next prime is 101106105631. The reversal of 101106105606 is 606501601101.

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 101106105606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609786 + ... + 4631666.

Almost surely, 2^101106105606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101106105606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123627435624).

101106105606 is an abundant number, since it is smaller than the sum of its proper divisors (146148765642).

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

101106105606 is a wasteful number, since it uses less digits than its factorization.

101106105606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24499 (or 24490 counting only the distinct ones).

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

Adding to 101106105606 its reverse (606501601101), we get a palindrome (707607706707).

The spelling of 101106105606 in words is "one hundred one billion, one hundred six million, one hundred five thousand, six hundred six".