105105555510009 has 4 divisors (see below), whose sum is σ = 140140740680016. Its totient is φ = 70070370340004.

The previous prime is 105105555509921. The next prime is 105105555510071. The reversal of 105105555510009 is 900015555501501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105105555510009 - 2²⁰ = 105105554461433 is a prime.

It is a super-2 number, since 2×105105555510009² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105555510089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17517592584999 + ... + 17517592585004.

It is an arithmetic number, because the mean of its divisors is an integer number (35035185170004).

Almost surely, 2^{105105555510009} is an apocalyptic number.

It is an amenable number.

105105555510009 is a deficient number, since it is larger than the sum of its proper divisors (35035185170007).

105105555510009 is an equidigital number, since it uses as much as digits as its factorization.

105105555510009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35035185170006.

The product of its (nonzero) digits is 140625, while the sum is 42.

The spelling of 105105555510009 in words is "one hundred five trillion, one hundred five billion, five hundred fifty-five million, five hundred ten thousand, nine".