107201 has 2 divisors, whose sum is σ = 107202. Its totient is φ = 107200.

The previous prime is 107197. The next prime is 107209. The reversal of 107201 is 102701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 39601 = 260^2 + 199^2 .

It is an emirp because it is prime and its reverse (102701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107201 - 2² = 107197 is a prime.

It is a super-2 number, since 2×107201² = 22984108802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107209) 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, 53600 + 53601.

It is an arithmetic number, because the mean of its divisors is an integer number (53601).

2¹⁰⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

107201 is a deficient number, since it is larger than the sum of its proper divisors (1).

107201 is an equidigital number, since it uses as much as digits as its factorization.

107201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 107201 is about 327.4156379894. The cubic root of 107201 is about 47.5043024727.

Adding to 107201 its reverse (102701), we get a palindrome (209902).

It can be divided in two parts, 10 and 7201, that multiplied together give a triangular number (72010 = T₃₇₉).

The spelling of 107201 in words is "one hundred seven thousand, two hundred one", and thus it is an iban number.