105006005110509 has 16 divisors (see below), whose sum is σ = 140240280399360. Its totient is φ = 69887869277760.

The previous prime is 105006005110441. The next prime is 105006005110529. The reversal of 105006005110509 is 905011500600501.

It is not a de Polignac number, because 105006005110509 - 2⁷ = 105006005110381 is a prime.

It is a super-2 number, since 2×105006005110509² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105006005110509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006005110529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186300087 + ... + 186862875.

It is an arithmetic number, because the mean of its divisors is an integer number (8765017524960).

Almost surely, 2^{105006005110509} is an apocalyptic number.

It is an amenable number.

105006005110509 is a deficient number, since it is larger than the sum of its proper divisors (35234275288851).

105006005110509 is a wasteful number, since it uses less digits than its factorization.

105006005110509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665860.

The product of its (nonzero) digits is 6750, while the sum is 33.

The spelling of 105006005110509 in words is "one hundred five trillion, six billion, five million, one hundred ten thousand, five hundred nine".