2106365600 has 72 divisors (see below), whose sum is σ = 5281216668. Its totient is φ = 819763200.

The previous prime is 2106365509. The next prime is 2106365609. The reversal of 2106365600 is 65636012.

It can be written as a sum of positive squares in 6 ways, for example, as 1450391056 + 655974544 = 38084^2 + 25612^2 .

It is not an unprimeable number, because it can be changed into a prime (2106365609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5981 + ... + 65180.

Almost surely, 2^2106365600 is an apocalyptic number.

2106365600 is a gapful number since it is divisible by the number (20) 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 2106365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640608334).

2106365600 is an abundant number, since it is smaller than the sum of its proper divisors (3174851068).

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

2106365600 is a wasteful number, since it uses less digits than its factorization.

2106365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71218 (or 71205 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2106365600 is about 45895.1587860855. The cubic root of 2106365600 is about 1281.8717732478.

The spelling of 2106365600 in words is "two billion, one hundred six million, three hundred sixty-five thousand, six hundred".