2106016 has 48 divisors (see below), whose sum is σ = 4693248. Its totient is φ = 921600.

The previous prime is 2105993. The next prime is 2106019. The reversal of 2106016 is 6106012.

2106016 = T₃₅₃ + T₃₅₄ + ... + T₃₈₃.

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

It is not an unprimeable number, because it can be changed into a prime (2106019) 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, 10816 + ... + 11008.

It is an arithmetic number, because the mean of its divisors is an integer number (97776).

2^2106016 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 2106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346624).

2106016 is an abundant number, since it is smaller than the sum of its proper divisors (2587232).

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

2106016 is a wasteful number, since it uses less digits than its factorization.

2106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2106016 is about 1451.2119073381. The cubic root of 2106016 is about 128.1800850586.

It can be divided in two parts, 210 and 6016, that added together give a palindrome (6226).

The spelling of 2106016 in words is "two million, one hundred six thousand, sixteen".