132020100 has 81 divisors (see below), whose sum is σ = 414892933. Its totient is φ = 35113440.

The previous prime is 132020081. The next prime is 132020137. The reversal of 132020100 is 1020231.

It is a happy number.

The square root of 132020100 is 11490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47527236 + 84492864 = 6894^2 + 9192^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344509 + ... + 344891.

Almost surely, 2^132020100 is an apocalyptic number.

132020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132020100 is the 11490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020100

132020100 is an abundant number, since it is smaller than the sum of its proper divisors (282872833).

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

132020100 is a wasteful number, since it uses less digits than its factorization.

132020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

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

The cubic root of 132020100 is about 509.1901796017.

Adding to 132020100 its reverse (1020231), we get a palindrome (133040331).

The spelling of 132020100 in words is "one hundred thirty-two million, twenty thousand, one hundred".