102000132 has 72 divisors (see below), whose sum is σ = 292306560. Its totient is φ = 29730240.

The previous prime is 102000131. The next prime is 102000133. The reversal of 102000132 is 231000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102000131) and next prime (102000133).

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

It is not an unprimeable number, because it can be changed into a prime (102000131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157 + ... + 14627.

Almost surely, 2^102000132 is an apocalyptic number.

102000132 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 102000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146153280).

102000132 is an abundant number, since it is smaller than the sum of its proper divisors (190306428).

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

102000132 is a wasteful number, since it uses less digits than its factorization.

102000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11508 counting only the distinct ones).

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

The square root of 102000132 is about 10099.5114733337. The cubic root of 102000132 is about 467.2330743869.

Adding to 102000132 its reverse (231000201), we get a palindrome (333000333).

The spelling of 102000132 in words is "one hundred two million, one hundred thirty-two", and thus it is an aban number.