105500550048 has 96 divisors (see below), whose sum is σ = 282289142016. Its totient is φ = 34488050688.

The previous prime is 105500550047. The next prime is 105500550049. The reversal of 105500550048 is 840055005501.

105500550048 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105500550047) and next prime (105500550049).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×105500550048³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105500550047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20415561 + ... + 20420727.

It is an arithmetic number, because the mean of its divisors is an integer number (2940511896).

Almost surely, 2^105500550048 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 105500550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141144571008).

105500550048 is an abundant number, since it is smaller than the sum of its proper divisors (176788591968).

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

105500550048 is a wasteful number, since it uses less digits than its factorization.

105500550048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

Adding to 105500550048 its reverse (840055005501), we get a palindrome (945555555549).

The spelling of 105500550048 in words is "one hundred five billion, five hundred million, five hundred fifty thousand, forty-eight".