102546 has 24 divisors (see below), whose sum is σ = 231504. Its totient is φ = 34020.

The previous prime is 102539. The next prime is 102547. The reversal of 102546 is 645201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102547) 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, 381 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (9646).

2¹⁰²⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115752).

102546 is an abundant number, since it is smaller than the sum of its proper divisors (128958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102546 is an equidigital number, since it uses as much as digits as its factorization.

102546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102546 is about 320.2280437438. The cubic root of 102546 is about 46.8065079707.

Adding to 102546 its reverse (645201), we get a palindrome (747747).

It can be divided in two parts, 10 and 2546, that added together give a triangular number (2556 = T₇₁).

The spelling of 102546 in words is "one hundred two thousand, five hundred forty-six".