105929273217 has 16 divisors (see below), whose sum is σ = 143353117440. Its totient is φ = 69568329600.

The previous prime is 105929273209. The next prime is 105929273221. The reversal of 105929273217 is 712372929501.

It is not a de Polignac number, because 105929273217 - 2³ = 105929273209 is a prime.

It is a super-2 number, since 2×105929273217² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105929273237) 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 15 ways as a sum of consecutive naturals, for example, 659634 + ... + 804347.

It is an arithmetic number, because the mean of its divisors is an integer number (8959569840).

Almost surely, 2^105929273217 is an apocalyptic number.

It is an amenable number.

105929273217 is a deficient number, since it is larger than the sum of its proper divisors (37423844223).

105929273217 is a wasteful number, since it uses less digits than its factorization.

105929273217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464344.

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 105929273217 in words is "one hundred five billion, nine hundred twenty-nine million, two hundred seventy-three thousand, two hundred seventeen".