105220170105006 has 24 divisors (see below), whose sum is σ = 231310456596072. Its totient is φ = 31884900031600.

The previous prime is 105220170104983. The next prime is 105220170105019. The reversal of 105220170105006 is 600501071022501.

It is a super-2 number, since 2×105220170105006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72465681165 + ... + 72465682616.

It is an arithmetic number, because the mean of its divisors is an integer number (9637935691503).

Almost surely, 2^{105220170105006} is an apocalyptic number.

105220170105006 is an abundant number, since it is smaller than the sum of its proper divisors (126090286491066).

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

105220170105006 is a wasteful number, since it uses less digits than its factorization.

105220170105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144931363808 (or 144931363797 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 105220170105006 in words is "one hundred five trillion, two hundred twenty billion, one hundred seventy million, one hundred five thousand, six".