105105141 has 16 divisors (see below), whose sum is σ = 157590720. Its totient is φ = 69224400.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105141 is 141501501.

It is a happy number.

105105141 is a `hidden beast` number, since 10 + 510 + 5 + 141 = 666.

It is not a de Polignac number, because 105105141 - 2⁵ = 105105109 is a prime.

It is a super-2 number, since 2×105105141² = 22094181329259762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21210 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (9849420).

Almost surely, 2^105105141 is an apocalyptic number.

It is an amenable number.

105105141 is a deficient number, since it is larger than the sum of its proper divisors (52485579).

105105141 is an equidigital number, since it uses as much as digits as its factorization.

105105141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46993 (or 46987 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105105141 is about 10252.0798377695. The cubic root of 105105141 is about 471.9268131402.

Adding to 105105141 its reverse (141501501), we get a palindrome (246606642).

It can be divided in two parts, 10510 and 5141, that added together give a palindrome (15651).

The spelling of 105105141 in words is "one hundred five million, one hundred five thousand, one hundred forty-one".