10057123 has 2 divisors, whose sum is σ = 10057124. Its totient is φ = 10057122.

The previous prime is 10057111. The next prime is 10057127. The reversal of 10057123 is 32175001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10057123 - 2²¹ = 7959971 is a prime.

It is a super-2 number, since 2×10057123² = 202291446074258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10057123.

It is not a weakly prime, because it can be changed into another prime (10057127) 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, 5028561 + 5028562.

It is an arithmetic number, because the mean of its divisors is an integer number (5028562).

Almost surely, 2^10057123 is an apocalyptic number.

10057123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057123 is an equidigital number, since it uses as much as digits as its factorization.

10057123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10057123 is about 3171.2967379291. The cubic root of 10057123 is about 215.8529162708.

It can be divided in two parts, 1005 and 7123, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 10057123 in words is "ten million, fifty-seven thousand, one hundred twenty-three".