105105510241 has 16 divisors (see below), whose sum is σ = 113123088000. Its totient is φ = 97304709888.

The previous prime is 105105510179. The next prime is 105105510277. The reversal of 105105510241 is 142015501501.

It is not a de Polignac number, because 105105510241 - 2¹⁵ = 105105477473 is a prime.

It is a super-2 number, since 2×105105510241² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105105510281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59470 + ... + 462328.

It is an arithmetic number, because the mean of its divisors is an integer number (7070193000).

Almost surely, 2^105105510241 is an apocalyptic number.

It is an amenable number.

105105510241 is a deficient number, since it is larger than the sum of its proper divisors (8017577759).

105105510241 is a wasteful number, since it uses less digits than its factorization.

105105510241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403128.

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 105105510241 in words is "one hundred five billion, one hundred five million, five hundred ten thousand, two hundred forty-one".