100009057 has 2 divisors, whose sum is σ = 100009058. Its totient is φ = 100009056.

The previous prime is 100009043. The next prime is 100009067. The reversal of 100009057 is 750900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57289761 + 42719296 = 7569^2 + 6536^2 .

It is an emirp because it is prime and its reverse (750900001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100009057 - 2⁷ = 100008929 is a prime.

It is a super-2 number, since 2×100009057² = 20003622964058498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100009067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004528 + 50004529.

It is an arithmetic number, because the mean of its divisors is an integer number (50004529).

Almost surely, 2^100009057 is an apocalyptic number.

It is an amenable number.

100009057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009057 is an equidigital number, since it uses as much as digits as its factorization.

100009057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 100009057 is about 10000.4528397468. The cubic root of 100009057 is about 464.1728958949.

Adding to 100009057 its reverse (750900001), we get a palindrome (850909058).

The spelling of 100009057 in words is "one hundred million, nine thousand, fifty-seven".