105120004131 has 12 divisors (see below), whose sum is σ = 151853528008. Its totient is φ = 70073761824.

The previous prime is 105120004127. The next prime is 105120004133. The reversal of 105120004131 is 131400021501.

105120004131 is a `hidden beast` number, since 1 + 0 + 51 + 200 + 0 + 413 + 1 = 666.

It is not a de Polignac number, because 105120004131 - 2² = 105120004127 is a prime.

It is a super-2 number, since 2×105120004131² (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 (105120004133) 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 11 ways as a sum of consecutive naturals, for example, 412225 + ... + 616578.

Almost surely, 2^105120004131 is an apocalyptic number.

105120004131 is a deficient number, since it is larger than the sum of its proper divisors (46733523877).

105120004131 is a wasteful number, since it uses less digits than its factorization.

105120004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040162 (or 1040159 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105120004131 its reverse (131400021501), we get a palindrome (236520025632).

The spelling of 105120004131 in words is "one hundred five billion, one hundred twenty million, four thousand, one hundred thirty-one".