2105152 has 56 divisors (see below), whose sum is σ = 4941824. Its totient is φ = 870912.

The previous prime is 2105149. The next prime is 2105183. The reversal of 2105152 is 2515012.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16513 + ... + 16639.

2^2105152 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 2105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470912).

2105152 is an abundant number, since it is smaller than the sum of its proper divisors (2836672).

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

2105152 is a wasteful number, since it uses less digits than its factorization.

2105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2105152 is about 1450.9141945684. The cubic root of 2105152 is about 128.1625538936.

The spelling of 2105152 in words is "two million, one hundred five thousand, one hundred fifty-two".