10008280127 has 8 divisors (see below), whose sum is σ = 10061990400. Its totient is φ = 9954707544.

The previous prime is 10008280097. The next prime is 10008280129. The reversal of 10008280127 is 72108280001.

10008280127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10008280127 - 2¹⁴ = 10008263743 is a prime.

It is a super-2 number, since 2×10008280127² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10008280127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008280129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113024 + ... + 181082.

It is an arithmetic number, because the mean of its divisors is an integer number (1257748800).

Almost surely, 2^10008280127 is an apocalyptic number.

10008280127 is a deficient number, since it is larger than the sum of its proper divisors (53710273).

10008280127 is an equidigital number, since it uses as much as digits as its factorization.

10008280127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68845.

The product of its (nonzero) digits is 1792, while the sum is 29.

The spelling of 10008280127 in words is "ten billion, eight million, two hundred eighty thousand, one hundred twenty-seven".