105144522133509 has 24 divisors (see below), whose sum is σ = 153404510418432. Its totient is φ = 69390844063200.

The previous prime is 105144522133477. The next prime is 105144522133523. The reversal of 105144522133509 is 905331225441501.

105144522133509 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 4 + 5 + 2 + 2 + 133 + 509 = 666.

It is not a de Polignac number, because 105144522133509 - 2⁵ = 105144522133477 is a prime.

It is a super-2 number, since 2×105144522133509² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144522133529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4067569 + ... + 15061014.

It is an arithmetic number, because the mean of its divisors is an integer number (6391854600768).

Almost surely, 2^{105144522133509} is an apocalyptic number.

It is an amenable number.

105144522133509 is a deficient number, since it is larger than the sum of its proper divisors (48259988284923).

105144522133509 is a wasteful number, since it uses less digits than its factorization.

105144522133509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19134737 (or 19134734 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 105144522133509 in words is "one hundred five trillion, one hundred forty-four billion, five hundred twenty-two million, one hundred thirty-three thousand, five hundred nine".