105000506011005 has 32 divisors (see below), whose sum is σ = 183575544127488. Its totient is φ = 50825465793600.

The previous prime is 105000506011003. The next prime is 105000506011031. The reversal of 105000506011005 is 500110605000501.

It is not a de Polignac number, because 105000506011005 - 2¹ = 105000506011003 is a prime.

It is a super-2 number, since 2×105000506011005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000506011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524089881 + ... + 524290190.

It is an arithmetic number, because the mean of its divisors is an integer number (5736735753984).

Almost surely, 2^{105000506011005} is an apocalyptic number.

105000506011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105000506011005 is a deficient number, since it is larger than the sum of its proper divisors (78575038116483).

105000506011005 is a wasteful number, since it uses less digits than its factorization.

105000506011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048380697.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105000506011005 in words is "one hundred five trillion, five hundred six million, eleven thousand, five".