105414131204121 has 16 divisors (see below), whose sum is σ = 142708467230784. Its totient is φ = 69201061864704.

The previous prime is 105414131204111. The next prime is 105414131204171. The reversal of 105414131204121 is 121402131414501.

It is not a de Polignac number, because 105414131204121 - 2¹³ = 105414131195929 is a prime.

It is a super-2 number, since 2×105414131204121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105414131204111) 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, 389932191 + ... + 390202436.

It is an arithmetic number, because the mean of its divisors is an integer number (8919279201924).

Almost surely, 2^{105414131204121} is an apocalyptic number.

It is an amenable number.

105414131204121 is a deficient number, since it is larger than the sum of its proper divisors (37294336026663).

105414131204121 is an equidigital number, since it uses as much as digits as its factorization.

105414131204121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780135320.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 105414131204121 its reverse (121402131414501), we get a palindrome (226816262618622).

The spelling of 105414131204121 in words is "one hundred five trillion, four hundred fourteen billion, one hundred thirty-one million, two hundred four thousand, one hundred twenty-one".