102132300 has 72 divisors (see below), whose sum is σ = 300400912. Its totient is φ = 26784000.

The previous prime is 102132299. The next prime is 102132307. The reversal of 102132300 is 3231201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102132307) 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, 15510 + ... + 21090.

Almost surely, 2^102132300 is an apocalyptic number.

102132300 is a gapful number since it is divisible by the number (10) 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 102132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150200456).

102132300 is an abundant number, since it is smaller than the sum of its proper divisors (198268612).

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

102132300 is a wasteful number, since it uses less digits than its factorization.

102132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102132300 is about 10106.0526418577. The cubic root of 102132300 is about 467.4347950658.

Adding to 102132300 its reverse (3231201), we get a palindrome (105363501).

The spelling of 102132300 in words is "one hundred two million, one hundred thirty-two thousand, three hundred".