10105057 has 2 divisors, whose sum is σ = 10105058. Its totient is φ = 10105056.

The previous prime is 10105037. The next prime is 10105061. The reversal of 10105057 is 75050101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 519841 = 3096^2 + 721^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105057 - 2⁷ = 10104929 is a prime.

It is a super-6 number, since 6×10105057⁶ (a number of 43 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10105037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052528 + 5052529.

It is an arithmetic number, because the mean of its divisors is an integer number (5052529).

Almost surely, 2^10105057 is an apocalyptic number.

It is an amenable number.

10105057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105057 is an equidigital number, since it uses as much as digits as its factorization.

10105057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 10105057 is about 3178.8452305830. The cubic root of 10105057 is about 216.1953037518.

Adding to 10105057 its reverse (75050101), we get a palindrome (85155158).

The spelling of 10105057 in words is "ten million, one hundred five thousand, fifty-seven".