105427834802127 has 8 divisors (see below), whose sum is σ = 156189384892080. Its totient is φ = 70285223201400.

The previous prime is 105427834802093. The next prime is 105427834802177. The reversal of 105427834802127 is 721208438724501.

105427834802127 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 278 + 348 + 0 + 2 + 1 + 27 = 666.

It is not a de Polignac number, because 105427834802127 - 2³⁰ = 105426761060303 is a prime.

It is a super-2 number, since 2×105427834802127² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105427834802177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952367311124 + ... + 1952367311177.

It is an arithmetic number, because the mean of its divisors is an integer number (19523673111510).

Almost surely, 2^{105427834802127} is an apocalyptic number.

105427834802127 is a deficient number, since it is larger than the sum of its proper divisors (50761550089953).

105427834802127 is an equidigital number, since it uses as much as digits as its factorization.

105427834802127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904734622310 (or 3904734622304 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 105427834802127 in words is "one hundred five trillion, four hundred twenty-seven billion, eight hundred thirty-four million, eight hundred two thousand, one hundred twenty-seven".