10123457 has 2 divisors, whose sum is σ = 10123458. Its totient is φ = 10123456.

The previous prime is 10123439. The next prime is 10123481. The reversal of 10123457 is 75432101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10086976 + 36481 = 3176^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123457 - 2¹⁰ = 10122433 is a prime.

It is the 48-th primeval number, because it sets a new record (4917) in the number of distinct primes that is it possible to write using its digits.

It is not a weakly prime, because it can be changed into another prime (10123417) 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, 5061728 + 5061729.

It is an arithmetic number, because the mean of its divisors is an integer number (5061729).

Almost surely, 2^10123457 is an apocalyptic number.

It is an amenable number.

10123457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123457 is an equidigital number, since it uses as much as digits as its factorization.

10123457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10123457 is about 3181.7380470428. The cubic root of 10123457 is about 216.3264454022.

Adding to 10123457 its reverse (75432101), we get a palindrome (85555558).

The spelling of 10123457 in words is "ten million, one hundred twenty-three thousand, four hundred fifty-seven".