105001010100005 has 8 divisors (see below), whose sum is σ = 126011015450232. Its totient is φ = 83994272526528.

The previous prime is 105001010099917. The next prime is 105001010100023. The reversal of 105001010100005 is 500001010100501.

It can be written as a sum of positive squares in 4 ways, for example, as 5973693244996 + 99027316855009 = 2444114^2 + 9951247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105001010100005 - 2⁸ = 105001010099749 is a prime.

It is a super-2 number, since 2×105001010100005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816873494 + ... + 817002023.

It is an arithmetic number, because the mean of its divisors is an integer number (15751376931279).

Almost surely, 2^{105001010100005} is an apocalyptic number.

It is an amenable number.

105001010100005 is a deficient number, since it is larger than the sum of its proper divisors (21010005350227).

105001010100005 is a wasteful number, since it uses less digits than its factorization.

105001010100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633888375.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 105001010100005 its reverse (500001010100501), we get a palindrome (605002020200506).

The spelling of 105001010100005 in words is "one hundred five trillion, one billion, ten million, one hundred thousand, five".