10634129 has 32 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 8294400.

The previous prime is 10634123. The next prime is 10634153. The reversal of 10634129 is 92143601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10634129 is a prime.

It is a super-2 number, since 2×10634129² = 226169399177282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10634098 and 10634107.

It is not an unprimeable number, because it can be changed into a prime (10634123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145637 + ... + 145709.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 2^10634129 is an apocalyptic number.

10634129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10634129 is a deficient number, since it is larger than the sum of its proper divisors (2792431).

10634129 is a wasteful number, since it uses less digits than its factorization.

10634129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10634129 is about 3261.0012266174. The cubic root of 10634129 is about 219.9044281849.

The spelling of 10634129 in words is "ten million, six hundred thirty-four thousand, one hundred twenty-nine".