10857029 has 2 divisors, whose sum is σ = 10857030. Its totient is φ = 10857028.

The previous prime is 10857017. The next prime is 10857059. The reversal of 10857029 is 92075801.

10857029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10857025 + 4 = 3295^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 10857029 - 2⁸ = 10856773 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₇₁₇₆₉₂ and since 10857029 and 717692 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10856986 and 10857004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10857059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5428514 + 5428515.

It is an arithmetic number, because the mean of its divisors is an integer number (5428515).

Almost surely, 2^10857029 is an apocalyptic number.

It is an amenable number.

10857029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10857029 is an equidigital number, since it uses as much as digits as its factorization.

10857029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10857029 is about 3295.0006069802. Note that the first 3 decimals coincide. The cubic root of 10857029 is about 221.4302749386.

It can be divided in two parts, 1085 and 7029, that multiplied together give a triangular number (7626465 = T₃₉₀₅).

The spelling of 10857029 in words is "ten million, eight hundred fifty-seven thousand, twenty-nine".