105343221152 has 48 divisors (see below), whose sum is σ = 226407512520. Its totient is φ = 47953907712.

The previous prime is 105343221119. The next prime is 105343221187. The reversal of 105343221152 is 251122343501.

105343221152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65660987536 + 39682233616 = 256244^2 + 199204^2 .

It is a super-2 number, since 2×105343221152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1704077 + ... + 1764812.

Almost surely, 2^105343221152 is an apocalyptic number.

It is an amenable number.

105343221152 is an abundant number, since it is smaller than the sum of its proper divisors (121064291368).

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

105343221152 is a wasteful number, since it uses less digits than its factorization.

105343221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468985 (or 3468977 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105343221152 its reverse (251122343501), we get a palindrome (356465564653).

The spelling of 105343221152 in words is "one hundred five billion, three hundred forty-three million, two hundred twenty-one thousand, one hundred fifty-two".