2105064 has 72 divisors (see below), whose sum is σ = 6209190. Its totient is φ = 643968.

The previous prime is 2105027. The next prime is 2105069. The reversal of 2105064 is 4605012.

It is a happy number.

2105064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1542564 + 562500 = 1242^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2105069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12082 + ... + 12254.

2^2105064 is an apocalyptic number.

2105064 is a gapful number since it is divisible by the number (24) 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 2105064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104595).

2105064 is an abundant number, since it is smaller than the sum of its proper divisors (4104126).

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

2105064 is a wasteful number, since it uses less digits than its factorization.

2105064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2105064 is about 1450.8838685436. The cubic root of 2105064 is about 128.1607680428.

The spelling of 2105064 in words is "two million, one hundred five thousand, sixty-four".