105344150304 has 48 divisors (see below), whose sum is σ = 288551374272. Its totient is φ = 33587989248.

The previous prime is 105344150287. The next prime is 105344150413. The reversal of 105344150304 is 403051443501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105344150304² (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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23852899 + ... + 23857314.

It is an arithmetic number, because the mean of its divisors is an integer number (6011486964).

Almost surely, 2^105344150304 is an apocalyptic number.

It is an amenable number.

105344150304 is an abundant number, since it is smaller than the sum of its proper divisors (183207223968).

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

105344150304 is a wasteful number, since it uses less digits than its factorization.

105344150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47710249 (or 47710241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105344150304 its reverse (403051443501), we get a palindrome (508395593805).

The spelling of 105344150304 in words is "one hundred five billion, three hundred forty-four million, one hundred fifty thousand, three hundred four".