105522550144 has 128 divisors (see below), whose sum is σ = 243056142720. Its totient is φ = 45099786240.

The previous prime is 105522550139. The next prime is 105522550153. The reversal of 105522550144 is 441055225501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105522550144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 42772399 + ... + 42774865.

It is an arithmetic number, because the mean of its divisors is an integer number (1898876115).

Almost surely, 2^105522550144 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 105522550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121528071360).

105522550144 is an abundant number, since it is smaller than the sum of its proper divisors (137533592576).

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

105522550144 is a wasteful number, since it uses less digits than its factorization.

105522550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

Adding to 105522550144 its reverse (441055225501), we get a palindrome (546577775645).

The spelling of 105522550144 in words is "one hundred five billion, five hundred twenty-two million, five hundred fifty thousand, one hundred forty-four".