Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
107057 is a prime number
BaseRepresentation
bin11010001000110001
312102212002
4122020301
511411212
62143345
7624056
oct321061
9172762
10107057
1173485
1251b55
1339962
142b02d
1521ac2
hex1a231

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".