105005005105601 has 4 divisors (see below), whose sum is σ = 105005066358192. Its totient is φ = 105004943853012.

The previous prime is 105005005105579. The next prime is 105005005105673. The reversal of 105005005105601 is 106501500500501.

It is a happy number.

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 105005005105601 - 2³⁰ = 105003931363777 is a prime.

It is a super-2 number, since 2×105005005105601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105005005185601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27978551 + ... + 31508876.

It is an arithmetic number, because the mean of its divisors is an integer number (26251266589548).

Almost surely, 2^{105005005105601} is an apocalyptic number.

It is an amenable number.

105005005105601 is a deficient number, since it is larger than the sum of its proper divisors (61252591).

105005005105601 is an equidigital number, since it uses as much as digits as its factorization.

105005005105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61252590.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105005005105601 in words is "one hundred five trillion, five billion, five million, one hundred five thousand, six hundred one".