103561 has 2 divisors, whose sum is σ = 103562. Its totient is φ = 103560.

The previous prime is 103553. The next prime is 103567. The reversal of 103561 is 165301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 38025 = 256^2 + 195^2 .

It is a cyclic number.

It is not a de Polignac number, because 103561 - 2³ = 103553 is a prime.

It is a super-3 number, since 3×103561³ = 3332038117042443, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103567) 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, 51780 + 51781.

It is an arithmetic number, because the mean of its divisors is an integer number (51781).

2¹⁰³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

103561 is a deficient number, since it is larger than the sum of its proper divisors (1).

103561 is an equidigital number, since it uses as much as digits as its factorization.

103561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 103561 is about 321.8089495337. The cubic root of 103561 is about 46.9604314626.

Adding to 103561 its reverse (165301), we get a palindrome (268862).

The spelling of 103561 in words is "one hundred three thousand, five hundred sixty-one".