107581 has 2 divisors, whose sum is σ = 107582. Its totient is φ = 107580.

The previous prime is 107563. The next prime is 107599. The reversal of 107581 is 185701.

It is a balanced prime because it is at equal distance from previous prime (107563) and next prime (107599).

It can be written as a sum of positive squares in only one way, i.e., 95481 + 12100 = 309^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 107581 - 2⁷ = 107453 is a prime.

It is a super-2 number, since 2×107581² = 23147343122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107881) 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, 53790 + 53791.

It is an arithmetic number, because the mean of its divisors is an integer number (53791).

2¹⁰⁷⁵⁸¹ is an apocalyptic number.

It is an amenable number.

107581 is a deficient number, since it is larger than the sum of its proper divisors (1).

107581 is an equidigital number, since it uses as much as digits as its factorization.

107581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 107581 is about 327.9954267974. The cubic root of 107581 is about 47.5603664627.

It can be divided in two parts, 1075 and 81, that added together give a square (1156 = 34²).

The spelling of 107581 in words is "one hundred seven thousand, five hundred eighty-one".