102531 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 57120.

The previous prime is 102523. The next prime is 102533. The reversal of 102531 is 135201.

102531 = T₁₃₁ + T₁₃₂ + ... + T₁₄₁.

It is not a de Polignac number, because 102531 - 2³ = 102523 is a prime.

It is a super-2 number, since 2×102531² = 21025211922, which contains 22 as substring.

102531 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102531.

It is not an unprimeable number, because it can be changed into a prime (102533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰²⁵³¹ is an apocalyptic number.

102531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102531 is a deficient number, since it is larger than the sum of its proper divisors (58749).

102531 is a wasteful number, since it uses less digits than its factorization.

102531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102531 is about 320.2046220778. The cubic root of 102531 is about 46.8042256393.

Adding to 102531 its reverse (135201), we get a palindrome (237732).

The spelling of 102531 in words is "one hundred two thousand, five hundred thirty-one".