105080241 has 48 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 55863648.

The previous prime is 105080207. The next prime is 105080249. The reversal of 105080241 is 142080501.

It is not a de Polignac number, because 105080241 - 2⁷ = 105080113 is a prime.

It is a super-2 number, since 2×105080241² = 22083714097236162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105080249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629140 + ... + 629306.

It is an arithmetic number, because the mean of its divisors is an integer number (3584448).

Almost surely, 2^105080241 is an apocalyptic number.

It is an amenable number.

105080241 is a deficient number, since it is larger than the sum of its proper divisors (66973263).

105080241 is a wasteful number, since it uses less digits than its factorization.

105080241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105080241 is about 10250.8653781035. The cubic root of 105080241 is about 471.8895428233.

The spelling of 105080241 in words is "one hundred five million, eighty thousand, two hundred forty-one".