2106512 has 30 divisors (see below), whose sum is σ = 4248054. Its totient is φ = 1011840.

The previous prime is 2106491. The next prime is 2106523. The reversal of 2106512 is 2156012.

It can be written as a sum of positive squares in only one way, i.e., 1860496 + 246016 = 1364^2 + 496^2 .

It is a super-2 number, since 2×2106512² = 8874785612288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15308 + ... + 15444.

2^2106512 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 2106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124027).

2106512 is an abundant number, since it is smaller than the sum of its proper divisors (2141542).

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

2106512 is a wasteful number, since it uses less digits than its factorization.

2106512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2106512 is about 1451.3827889292. The cubic root of 2106512 is about 128.1901470796.

The spelling of 2106512 in words is "two million, one hundred six thousand, five hundred twelve".