100032210 has 48 divisors (see below), whose sum is σ = 266437080. Its totient is φ = 26023680.

The previous prime is 100032209. The next prime is 100032227. The reversal of 100032210 is 12230001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43917129 + 56115081 = 6627^2 + 7491^2 .

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 = 100032192 and 100032201.

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 23 ways as a sum of consecutive naturals, for example, 9865 + ... + 17244.

Almost surely, 2^100032210 is an apocalyptic number.

100032210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100032210 is an abundant number, since it is smaller than the sum of its proper divisors (166404870).

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

100032210 is a wasteful number, since it uses less digits than its factorization.

100032210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27163 (or 27160 counting only the distinct ones).

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

The square root of 100032210 is about 10001.6103703354. The cubic root of 100032210 is about 464.2087132037.

Adding to 100032210 its reverse (12230001), we get a palindrome (112262211).

The spelling of 100032210 in words is "one hundred million, thirty-two thousand, two hundred ten".