105005125344 has 48 divisors (see below), whose sum is σ = 315015378048. Its totient is φ = 30001464192.

The previous prime is 105005125321. The next prime is 105005125391. The reversal of 105005125344 is 443521500501.

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

It is a super-2 number, since 2×105005125344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78128142 + ... + 78129485.

It is an arithmetic number, because the mean of its divisors is an integer number (6562820376).

Almost surely, 2^105005125344 is an apocalyptic number.

105005125344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105005125344 is an abundant number, since it is smaller than the sum of its proper divisors (210010252704).

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

105005125344 is a wasteful number, since it uses less digits than its factorization.

105005125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156257647 (or 156257639 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105005125344 its reverse (443521500501), we get a palindrome (548526625845).

The spelling of 105005125344 in words is "one hundred five billion, five million, one hundred twenty-five thousand, three hundred forty-four".