105117672573 has 24 divisors (see below), whose sum is σ = 152736175800. Its totient is φ = 69664425984.

The previous prime is 105117672563. The next prime is 105117672601. The reversal of 105117672573 is 375276711501.

105117672573 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 7 + 6 + 72 + 573 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5800040964 + 99317631609 = 76158^2 + 315147^2 .

It is not a de Polignac number, because 105117672573 - 2⁶ = 105117672509 is a prime.

It is a super-4 number, since 4×105117672573⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117672533) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1058893 + ... + 1153901.

It is an arithmetic number, because the mean of its divisors is an integer number (6364007325).

Almost surely, 2^105117672573 is an apocalyptic number.

It is an amenable number.

105117672573 is a deficient number, since it is larger than the sum of its proper divisors (47618503227).

105117672573 is a wasteful number, since it uses less digits than its factorization.

105117672573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95741 (or 95738 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 105117672573 in words is "one hundred five billion, one hundred seventeen million, six hundred seventy-two thousand, five hundred seventy-three".