105310021344 has 192 divisors, whose sum is σ = 313214791680. Its totient is φ = 30702917120.

The previous prime is 105310021339. The next prime is 105310021393. The reversal of 105310021344 is 443120013501.

It is a happy number.

It is a super-2 number, since 2×105310021344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910307 + ... + 2946269.

It is an arithmetic number, because the mean of its divisors is an integer number (1631327040).

Almost surely, 2^105310021344 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 105310021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156607395840).

105310021344 is an abundant number, since it is smaller than the sum of its proper divisors (207904770336).

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

105310021344 is a wasteful number, since it uses less digits than its factorization.

105310021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36093 (or 36085 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105310021344 its reverse (443120013501), we get a palindrome (548430034845).

The spelling of 105310021344 in words is "one hundred five billion, three hundred ten million, twenty-one thousand, three hundred forty-four".