102132 has 18 divisors (see below), whose sum is σ = 258258. Its totient is φ = 34032.

The previous prime is 102121. The next prime is 102139. The reversal of 102132 is 231201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 41616 = 246^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102139) 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, 1383 + ... + 1454.

2¹⁰²¹³² is an apocalyptic number.

102132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132 is an abundant number, since it is smaller than the sum of its proper divisors (156126).

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

102132 is a wasteful number, since it uses less digits than its factorization.

102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102132 is about 319.5809756541. The cubic root of 102132 is about 46.7434337390.

Adding to 102132 its reverse (231201), we get a palindrome (333333).

The spelling of 102132 in words is "one hundred two thousand, one hundred thirty-two".