102541 has 6 divisors (see below), whose sum is σ = 106826. Its totient is φ = 98400.

The previous prime is 102539. The next prime is 102547. The reversal of 102541 is 145201.

It can be written as a sum of positive squares in 3 ways, for example, as 21316 + 81225 = 146^2 + 285^2 .

It is not a de Polignac number, because 102541 - 2¹ = 102539 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102547) 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 5 ways as a sum of consecutive naturals, for example, 1651 + ... + 1711.

102541 is a Friedman number, since it can be written as 2501*41, using all its digits and the basic arithmetic operations.

2¹⁰²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

102541 is a deficient number, since it is larger than the sum of its proper divisors (4285).

102541 is an frugal number, since it uses more digits than its factorization.

102541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102541 is about 320.2202367122. The cubic root of 102541 is about 46.8057472183.

Adding to 102541 its reverse (145201), we get a palindrome (247742).

It can be divided in two parts, 1025 and 41, that multiplied together give a square (42025 = 205²).

The spelling of 102541 in words is "one hundred two thousand, five hundred forty-one".