10134971 has 16 divisors (see below), whose sum is σ = 12933888. Its totient is φ = 7711200.

The previous prime is 10134959. The next prime is 10134977. The reversal of 10134971 is 17943101.

It is not a de Polignac number, because 10134971 - 2¹⁸ = 9872827 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 10134971.

It is not an unprimeable number, because it can be changed into a prime (10134977) 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, 1781 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (808368).

Almost surely, 2^10134971 is an apocalyptic number.

10134971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10134971 is a deficient number, since it is larger than the sum of its proper divisors (2798917).

10134971 is a wasteful number, since it uses less digits than its factorization.

10134971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 10134971 is about 3183.5469212814. The cubic root of 10134971 is about 216.4084279036.

The spelling of 10134971 in words is "ten million, one hundred thirty-four thousand, nine hundred seventy-one".