2100352 has 32 divisors (see below), whose sum is σ = 4268700. Its totient is φ = 1029120.

The previous prime is 2100313. The next prime is 2100353. The reversal of 2100352 is 2530012.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 602176 = 1224^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2100352² = 8822957047808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7674 + ... + 7942.

2^2100352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134350).

2100352 is an abundant number, since it is smaller than the sum of its proper divisors (2168348).

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

2100352 is an equidigital number, since it uses as much as digits as its factorization.

2100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2100352 is about 1449.2591210684. The cubic root of 2100352 is about 128.0650710810.

Adding to 2100352 its reverse (2530012), we get a palindrome (4630364).

It can be divided in two parts, 2 and 100352, that multiplied together give a square (200704 = 448²).

The spelling of 2100352 in words is "two million, one hundred thousand, three hundred fifty-two".