101105051055606 has 96 divisors (see below), whose sum is σ = 244512829440000. Its totient is φ = 30952918050912.

The previous prime is 101105051055587. The next prime is 101105051055611. The reversal of 101105051055606 is 606550150501101.

It is a happy number.

101105051055606 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 50 + 51 + 0 + 556 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26020086 + ... + 29652233.

It is an arithmetic number, because the mean of its divisors is an integer number (2547008640000).

Almost surely, 2^{101105051055606} is an apocalyptic number.

101105051055606 is an abundant number, since it is smaller than the sum of its proper divisors (143407778384394).

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

101105051055606 is a wasteful number, since it uses less digits than its factorization.

101105051055606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55672555 (or 55672536 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

It can be divided in two parts, 10110505 and 1055606, that added together give a palindrome (11166111).

The spelling of 101105051055606 in words is "one hundred one trillion, one hundred five billion, fifty-one million, fifty-five thousand, six hundred six".