103581 has 12 divisors (see below), whose sum is σ = 158652. Its totient is φ = 64896.

The previous prime is 103577. The next prime is 103583. The reversal of 103581 is 185301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 8100 = 309^2 + 90^2 .

It is not a de Polignac number, because 103581 - 2² = 103577 is a prime.

It is a super-3 number, since 3×103581³ = 3333968968415823, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (13221).

2¹⁰³⁵⁸¹ is an apocalyptic number.

It is an amenable number.

103581 is a deficient number, since it is larger than the sum of its proper divisors (55071).

103581 is a wasteful number, since it uses less digits than its factorization.

103581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103581 is about 321.8400223714. The cubic root of 103581 is about 46.9634543128.

Adding to 103581 its reverse (185301), we get a palindrome (288882).

The spelling of 103581 in words is "one hundred three thousand, five hundred eighty-one".