106261 has 2 divisors, whose sum is σ = 106262. Its totient is φ = 106260.

The previous prime is 106243. The next prime is 106273. The reversal of 106261 is 162601.

106261 = 230² + 231².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 52900 = 231^2 + 230^2 .

It is an emirp because it is prime and its reverse (162601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106261 is a prime.

It is a super-2 number, since 2×106261² = 22582800242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106291) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53130 + 53131.

It is an arithmetic number, because the mean of its divisors is an integer number (53131).

2¹⁰⁶²⁶¹ is an apocalyptic number.

106261 is the 231-st centered square number.

It is an amenable number.

106261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106261 is an equidigital number, since it uses as much as digits as its factorization.

106261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106261 is about 325.9769930532. The cubic root of 106261 is about 47.3650463049.

Adding to 106261 its reverse (162601), we get a palindrome (268862).

The spelling of 106261 in words is "one hundred six thousand, two hundred sixty-one".