105414131204055 has 48 divisors (see below), whose sum is σ = 186405977665440. Its totient is φ = 55097234970624.

The previous prime is 105414131203991. The next prime is 105414131204099. The reversal of 105414131204055 is 550402131414501.

105414131204055 is a `hidden beast` number, since 1 + 0 + 5 + 414 + 1 + 31 + 204 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 105414131204055 - 2⁶ = 105414131203991 is a prime.

It is a super-2 number, since 2×105414131204055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116010409 + ... + 116915538.

It is an arithmetic number, because the mean of its divisors is an integer number (3883457868030).

Almost surely, 2^{105414131204055} is an apocalyptic number.

105414131204055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105414131204055 is a deficient number, since it is larger than the sum of its proper divisors (80991846461385).

105414131204055 is a wasteful number, since it uses less digits than its factorization.

105414131204055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232926160 (or 232926157 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 105414131204055 its reverse (550402131414501), we get a palindrome (655816262618556).

The spelling of 105414131204055 in words is "one hundred five trillion, four hundred fourteen billion, one hundred thirty-one million, two hundred four thousand, fifty-five".