105200057 has 2 divisors, whose sum is σ = 105200058. Its totient is φ = 105200056.

The previous prime is 105200041. The next prime is 105200077. The reversal of 105200057 is 750002501.

It is an a-pointer prime, because the next prime (105200077) can be obtained adding 105200057 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99420841 + 5779216 = 9971^2 + 2404^2 .

It is a cyclic number.

It is not a de Polignac number, because 105200057 - 2⁴ = 105200041 is a prime.

It is a super-2 number, since 2×105200057² = 22134103985606498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105200077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600028 + 52600029.

It is an arithmetic number, because the mean of its divisors is an integer number (52600029).

Almost surely, 2^105200057 is an apocalyptic number.

It is an amenable number.

105200057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105200057 is an equidigital number, since it uses as much as digits as its factorization.

105200057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 105200057 is about 10256.7079026362. The cubic root of 105200057 is about 472.0688294363.

Adding to 105200057 its reverse (750002501), we get a palindrome (855202558).

The spelling of 105200057 in words is "one hundred five million, two hundred thousand, fifty-seven".