106181 has 2 divisors, whose sum is σ = 106182. Its totient is φ = 106180.

The previous prime is 106163. The next prime is 106187. The reversal of 106181 is 181601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 43681 = 250^2 + 209^2 .

It is a cyclic number.

It is not a de Polignac number, because 106181 - 2¹⁴ = 89797 is a prime.

It is a super-2 number, since 2×106181² = 22548809522, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106181.

It is not a weakly prime, because it can be changed into another prime (106187) 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, 53090 + 53091.

It is an arithmetic number, because the mean of its divisors is an integer number (53091).

2¹⁰⁶¹⁸¹ is an apocalyptic number.

It is an amenable number.

106181 is a deficient number, since it is larger than the sum of its proper divisors (1).

106181 is an equidigital number, since it uses as much as digits as its factorization.

106181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 106181 is about 325.8542619025. The cubic root of 106181 is about 47.3531568534.

Adding to 106181 its reverse (181601), we get a palindrome (287782).

The spelling of 106181 in words is "one hundred six thousand, one hundred eighty-one".