105144014544 has 80 divisors (see below), whose sum is σ = 287712388800. Its totient is φ = 32973445120.

The previous prime is 105144014533. The next prime is 105144014627. The reversal of 105144014544 is 445410441501.

It is a happy number.

It is a super-2 number, since 2×105144014544² (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 15 ways as a sum of consecutive naturals, for example, 2178514 + ... + 2226254.

It is an arithmetic number, because the mean of its divisors is an integer number (3596404860).

Almost surely, 2^105144014544 is an apocalyptic number.

It is an amenable number.

105144014544 is an abundant number, since it is smaller than the sum of its proper divisors (182568374256).

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

105144014544 is a wasteful number, since it uses less digits than its factorization.

105144014544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50468 (or 50462 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 105144014544 in words is "one hundred five billion, one hundred forty-four million, fourteen thousand, five hundred forty-four".