100105505556 has 96 divisors (see below), whose sum is σ = 271630894080. Its totient is φ = 28100404224.

The previous prime is 100105505551. The next prime is 100105505557. The reversal of 100105505556 is 655505501001.

It is a super-2 number, since 2×100105505556² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105505551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10318500 + ... + 10328196.

It is an arithmetic number, because the mean of its divisors is an integer number (2829488480).

Almost surely, 2^100105505556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105505556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135815447040).

100105505556 is an abundant number, since it is smaller than the sum of its proper divisors (171525388524).

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

100105505556 is a wasteful number, since it uses less digits than its factorization.

100105505556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 100105505556 in words is "one hundred billion, one hundred five million, five hundred five thousand, five hundred fifty-six".