105005141544 has 64 divisors (see below), whose sum is σ = 279168811200. Its totient is φ = 32798905344.

The previous prime is 105005141503. The next prime is 105005141557. The reversal of 105005141544 is 445141500501.

It is a super-2 number, since 2×105005141544² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468502 + ... + 655365.

It is an arithmetic number, because the mean of its divisors is an integer number (4362012675).

Almost surely, 2^105005141544 is an apocalyptic number.

It is an amenable number.

105005141544 is an abundant number, since it is smaller than the sum of its proper divisors (174163669656).

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

105005141544 is a wasteful number, since it uses less digits than its factorization.

105005141544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124122 (or 1124118 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 105005141544 in words is "one hundred five billion, five million, one hundred forty-one thousand, five hundred forty-four".