102432 has 48 divisors (see below), whose sum is σ = 296352. Its totient is φ = 30720.

The previous prime is 102409. The next prime is 102433. The reversal of 102432 is 234201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433) by changing a digit.

102432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2¹⁰²⁴³² is an apocalyptic number.

102432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176).

102432 is an abundant number, since it is smaller than the sum of its proper divisors (193920).

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

102432 is a wasteful number, since it uses less digits than its factorization.

102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102432 is about 320.0499960944. The cubic root of 102432 is about 46.7891566667.

Adding to 102432 its reverse (234201), we get a palindrome (336633).

Subtracting 102432 from its reverse (234201), we obtain a square (131769 = 363²).

It can be divided in two parts, 1024 and 32, that multiplied together give a 15-th power (32768 = 2¹⁵).

The spelling of 102432 in words is "one hundred two thousand, four hundred thirty-two".