132010100 has 144 divisors (see below), whose sum is σ = 329353920. Its totient is φ = 45619200.

The previous prime is 132010093. The next prime is 132010127. The reversal of 132010100 is 1010231.

132010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1970267 + ... + 1970333.

It is an arithmetic number, because the mean of its divisors is an integer number (2287180).

Almost surely, 2^132010100 is an apocalyptic number.

132010100 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 132010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676960).

132010100 is an abundant number, since it is smaller than the sum of its proper divisors (197343820).

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

132010100 is a wasteful number, since it uses less digits than its factorization.

132010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 132010100 is about 11489.5648307497. The cubic root of 132010100 is about 509.1773228969.

Adding to 132010100 its reverse (1010231), we get a palindrome (133020331).

The spelling of 132010100 in words is "one hundred thirty-two million, ten thousand, one hundred".