105001005605505 has 32 divisors (see below), whose sum is σ = 173036583552000. Its totient is φ = 54330884980992.

The previous prime is 105001005605477. The next prime is 105001005605521. The reversal of 105001005605505 is 505506500100501.

It is not a de Polignac number, because 105001005605505 - 2⁹ = 105001005604993 is a prime.

It is a super-2 number, since 2×105001005605505² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270853585 + ... + 271240974.

It is an arithmetic number, because the mean of its divisors is an integer number (5407393236000).

Almost surely, 2^{105001005605505} is an apocalyptic number.

105001005605505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001005605505 is a deficient number, since it is larger than the sum of its proper divisors (68035577946495).

105001005605505 is a wasteful number, since it uses less digits than its factorization.

105001005605505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542094953.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105001005605505 in words is "one hundred five trillion, one billion, five million, six hundred five thousand, five hundred five".