105340131 has 24 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 64564416.

The previous prime is 105340117. The next prime is 105340141. The reversal of 105340131 is 131043501.

105340131 is a `hidden beast` number, since 1 + 0 + 534 + 0 + 131 = 666.

It is not a de Polignac number, because 105340131 - 2⁵ = 105340099 is a prime.

It is a super-2 number, since 2×105340131² = 22193086398194322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105340141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29800 + ... + 33146.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^105340131 is an apocalyptic number.

105340131 is a deficient number, since it is larger than the sum of its proper divisors (59180589).

105340131 is a wasteful number, since it uses less digits than its factorization.

105340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105340131 is about 10263.5340404755. The cubic root of 105340131 is about 472.2782565807.

Adding to 105340131 its reverse (131043501), we get a palindrome (236383632).

The spelling of 105340131 in words is "one hundred five million, three hundred forty thousand, one hundred thirty-one".