107561 has 4 divisors (see below), whose sum is σ = 111300. Its totient is φ = 103824.

The previous prime is 107509. The next prime is 107563. The reversal of 107561 is 165701.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 42025 + 65536 = 205^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 107561 - 2¹⁰ = 106537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107563) 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 in 3 ways as a sum of consecutive naturals, for example, 1826 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (27825).

2¹⁰⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

107561 is a deficient number, since it is larger than the sum of its proper divisors (3739).

107561 is an equidigital number, since it uses as much as digits as its factorization.

107561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 107561 is about 327.9649371503. The cubic root of 107561 is about 47.5574190207.

The spelling of 107561 in words is "one hundred seven thousand, five hundred sixty-one".