132305100 has 72 divisors (see below), whose sum is σ = 384298320. Its totient is φ = 35143680.

The previous prime is 132305093. The next prime is 132305111. The reversal of 132305100 is 1503231.

It is a happy number.

132305100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132305100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93196 + ... + 94604.

Almost surely, 2^132305100 is an apocalyptic number.

132305100 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 132305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192149160).

132305100 is an abundant number, since it is smaller than the sum of its proper divisors (251993220).

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

132305100 is a wasteful number, since it uses less digits than its factorization.

132305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 132305100 is about 11502.3954026976. The cubic root of 132305100 is about 509.5563230912.

Adding to 132305100 its reverse (1503231), we get a palindrome (133808331).

The spelling of 132305100 in words is "one hundred thirty-two million, three hundred five thousand, one hundred".