107057 has 2 divisors, whose sum is σ = 107058. Its totient is φ = 107056.

The previous prime is 107053. The next prime is 107069. The reversal of 107057 is 750701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 14641 = 304^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 107057 - 2² = 107053 is a prime.

It is a super-2 number, since 2×107057² = 22922402498, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107057.

It is not a weakly prime, because it can be changed into another prime (107053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53528 + 53529.

It is an arithmetic number, because the mean of its divisors is an integer number (53529).

2¹⁰⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

107057 is a deficient number, since it is larger than the sum of its proper divisors (1).

107057 is an equidigital number, since it uses as much as digits as its factorization.

107057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 107057 is about 327.1956601179. The cubic root of 107057 is about 47.4830225568.

Adding to 107057 its reverse (750701), we get a palindrome (857758).

The spelling of 107057 in words is "one hundred seven thousand, fifty-seven".