100132020 has 36 divisors (see below), whose sum is σ = 303734340. Its totient is φ = 26701824.

The previous prime is 100132013. The next prime is 100132073. The reversal of 100132020 is 20231001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 71166096 = 5382^2 + 8436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100131993 and 100132011.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 277965 + ... + 278324.

It is an arithmetic number, because the mean of its divisors is an integer number (8437065).

Almost surely, 2^100132020 is an apocalyptic number.

100132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132020 is an abundant number, since it is smaller than the sum of its proper divisors (203602320).

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

100132020 is a wasteful number, since it uses less digits than its factorization.

100132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556304 (or 556299 counting only the distinct ones).

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

The square root of 100132020 is about 10006.5988227769. The cubic root of 100132020 is about 464.3630543914.

Adding to 100132020 its reverse (20231001), we get a palindrome (120363021).

The spelling of 100132020 in words is "one hundred million, one hundred thirty-two thousand, twenty".