10167057157 has 2 divisors, whose sum is σ = 10167057158. Its totient is φ = 10167057156.

The previous prime is 10167057139. The next prime is 10167057163. The reversal of 10167057157 is 75175076101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7286158881 + 2880898276 = 85359^2 + 53674^2 .

It is a cyclic number.

It is not a de Polignac number, because 10167057157 - 2¹⁹ = 10166532869 is a prime.

It is a super-3 number, since 3×10167057157³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10167057137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083528578 + 5083528579.

It is an arithmetic number, because the mean of its divisors is an integer number (5083528579).

Almost surely, 2^10167057157 is an apocalyptic number.

It is an amenable number.

10167057157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167057157 is an equidigital number, since it uses as much as digits as its factorization.

10167057157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51450, while the sum is 40.

The spelling of 10167057157 in words is "ten billion, one hundred sixty-seven million, fifty-seven thousand, one hundred fifty-seven".