105005550500561 has 8 divisors (see below), whose sum is σ = 105949789791720. Its totient is φ = 104061574132992.

The previous prime is 105005550500551. The next prime is 105005550500567. The reversal of 105005550500561 is 165005055500501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92257987600 + 104913292512961 = 303740^2 + 10242719^2 .

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 105005550500561 - 2³⁴ = 104988370631377 is a prime.

It is a super-2 number, since 2×105005550500561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005550500567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64928510 + ... + 66526103.

It is an arithmetic number, because the mean of its divisors is an integer number (13243723723965).

Almost surely, 2^{105005550500561} is an apocalyptic number.

It is an amenable number.

105005550500561 is a deficient number, since it is larger than the sum of its proper divisors (944239291159).

105005550500561 is a wasteful number, since it uses less digits than its factorization.

105005550500561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131461795.

The product of its (nonzero) digits is 93750, while the sum is 38.

The spelling of 105005550500561 in words is "one hundred five trillion, five billion, five hundred fifty million, five hundred thousand, five hundred sixty-one".