105305251344 has 40 divisors (see below), whose sum is σ = 275316149472. Its totient is φ = 34678836480.

The previous prime is 105305251291. The next prime is 105305251349. The reversal of 105305251344 is 443152503501.

It is a super-2 number, since 2×105305251344² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305251349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13212037 + ... + 13220004.

Almost surely, 2^105305251344 is an apocalyptic number.

It is an amenable number.

105305251344 is an abundant number, since it is smaller than the sum of its proper divisors (170010898128).

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

105305251344 is a wasteful number, since it uses less digits than its factorization.

105305251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432135 (or 26432129 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 105305251344 its reverse (443152503501), we get a palindrome (548457754845).

The spelling of 105305251344 in words is "one hundred five billion, three hundred five million, two hundred fifty-one thousand, three hundred forty-four".