102561 has 8 divisors (see below), whose sum is σ = 144864. Its totient is φ = 64320.

The previous prime is 102559. The next prime is 102563. The reversal of 102561 is 165201.

It is an interprime number because it is at equal distance from previous prime (102559) and next prime (102563).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102561 - 2¹ = 102559 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 102561.

It is not an unprimeable number, because it can be changed into a prime (102563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (18108).

2¹⁰²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

102561 is a deficient number, since it is larger than the sum of its proper divisors (42303).

102561 is a wasteful number, since it uses less digits than its factorization.

102561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102561 is about 320.2514636969. The cubic root of 102561 is about 46.8087900795.

Adding to 102561 its reverse (165201), we get a palindrome (267762).

The spelling of 102561 in words is "one hundred two thousand, five hundred sixty-one".