100361 has 2 divisors, whose sum is σ = 100362. Its totient is φ = 100360.

The previous prime is 100357. The next prime is 100363. The reversal of 100361 is 163001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 32761 = 260^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 100361 - 2² = 100357 is a prime.

It is a Sophie Germain prime.

Together with 100363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50180 + 50181.

It is an arithmetic number, because the mean of its divisors is an integer number (50181).

2¹⁰⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

100361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100361 is an equidigital number, since it uses as much as digits as its factorization.

100361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100361 is about 316.7980429232. The cubic root of 100361 is about 46.4716750455.

Adding to 100361 its reverse (163001), we get a palindrome (263362).

It can be divided in two parts, 100 and 361, that multiplied together give a square (36100 = 190²).

The spelling of 100361 in words is "one hundred thousand, three hundred sixty-one".