10505267127 has 12 divisors (see below), whose sum is σ = 15175638504. Its totient is φ = 7002882000.

The previous prime is 10505267119. The next prime is 10505267161. The reversal of 10505267127 is 72176250501.

10505267127 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 526 + 7 + 127 = 666.

It is not a de Polignac number, because 10505267127 - 2³ = 10505267119 is a prime.

It is a super-2 number, since 2×10505267127² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505267091 and 10505267100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505267027) 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, 67752 + ... + 160002.

It is an arithmetic number, because the mean of its divisors is an integer number (1264636542).

Almost surely, 2^10505267127 is an apocalyptic number.

10505267127 is a deficient number, since it is larger than the sum of its proper divisors (4670371377).

10505267127 is a wasteful number, since it uses less digits than its factorization.

10505267127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104910 (or 104907 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10505267127 in words is "ten billion, five hundred five million, two hundred sixty-seven thousand, one hundred twenty-seven".