2100032 has 56 divisors (see below), whose sum is σ = 4815840. Its totient is φ = 898560.

The previous prime is 2100031. The next prime is 2100041. The reversal of 2100032 is 2300012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2099992 and 2100019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13298 + ... + 13454.

2^2100032 is an apocalyptic number.

2100032 is a gapful number since it is divisible by the number (22) 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 2100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407920).

2100032 is an abundant number, since it is smaller than the sum of its proper divisors (2715808).

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

2100032 is a wasteful number, since it uses less digits than its factorization.

2100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

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

The square root of 2100032 is about 1449.1487156258. The cubic root of 2100032 is about 128.0585669484.

Adding to 2100032 its reverse (2300012), we get a palindrome (4400044).

The spelling of 2100032 in words is "two million, one hundred thousand, thirty-two".