10807129 has 2 divisors, whose sum is σ = 10807130. Its totient is φ = 10807128.

The previous prime is 10807099. The next prime is 10807157. The reversal of 10807129 is 92170801.

It is an a-pointer prime, because the next prime (10807157) can be obtained adding 10807129 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8133904 + 2673225 = 2852^2 + 1635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10807129 - 2⁷ = 10807001 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10807097 and 10807106.

It is not a weakly prime, because it can be changed into another prime (10807229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5403564 + 5403565.

It is an arithmetic number, because the mean of its divisors is an integer number (5403565).

Almost surely, 2^10807129 is an apocalyptic number.

It is an amenable number.

10807129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10807129 is an equidigital number, since it uses as much as digits as its factorization.

10807129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10807129 is about 3287.4198089079. The cubic root of 10807129 is about 221.0905152590.

The spelling of 10807129 in words is "ten million, eight hundred seven thousand, one hundred twenty-nine".