100032020 has 48 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 35118720.

The previous prime is 100032019. The next prime is 100032059. The reversal of 100032020 is 20230001.

It is a junction number, because it is equal to n+sod(n) for n = 100031989 and 100032007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2^100032020 is an apocalyptic number.

100032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032020 is an abundant number, since it is smaller than the sum of its proper divisors (137049580).

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

100032020 is a wasteful number, since it uses less digits than its factorization.

100032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100032020 is about 10001.6008718605. The cubic root of 100032020 is about 464.2084192993.

Adding to 100032020 its reverse (20230001), we get a palindrome (120262021).

The spelling of 100032020 in words is "one hundred million, thirty-two thousand, twenty".