102591 has 6 divisors (see below), whose sum is σ = 148200. Its totient is φ = 68388.

The previous prime is 102587. The next prime is 102593. The reversal of 102591 is 195201.

It is not a de Polignac number, because 102591 - 2² = 102587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102593) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5691 + ... + 5708.

It is an arithmetic number, because the mean of its divisors is an integer number (24700).

2¹⁰²⁵⁹¹ is an apocalyptic number.

102591 is a deficient number, since it is larger than the sum of its proper divisors (45609).

102591 is a wasteful number, since it uses less digits than its factorization.

102591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11402 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 102591 is about 320.2982984657. The cubic root of 102591 is about 46.8133536297.

Adding to 102591 its reverse (195201), we get a palindrome (297792).

It can be divided in two parts, 10 and 2591, that added together give a square (2601 = 51²).

The spelling of 102591 in words is "one hundred two thousand, five hundred ninety-one".