10157309 has 2 divisors, whose sum is σ = 10157310. Its totient is φ = 10157308.

The previous prime is 10157281. The next prime is 10157321. The reversal of 10157309 is 90375101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 3161284 = 2645^2 + 1778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10157309 is a prime.

It is a super-2 number, since 2×10157309² = 206341852242962, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10157369) 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 as a sum of consecutive naturals, namely, 5078654 + 5078655.

It is an arithmetic number, because the mean of its divisors is an integer number (5078655).

Almost surely, 2^10157309 is an apocalyptic number.

It is an amenable number.

10157309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157309 is an equidigital number, since it uses as much as digits as its factorization.

10157309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 10157309 is about 3187.0533412543. The cubic root of 10157309 is about 216.5673030251.

The spelling of 10157309 in words is "ten million, one hundred fifty-seven thousand, three hundred nine".