2101305600 has 243 divisors, whose sum is σ = 7552180909. Its totient is φ = 557414400.

The previous prime is 2101305593. The next prime is 2101305611. The reversal of 2101305600 is 65031012.

The square root of 2101305600 is 45840.

It is a perfect power (a square), and thus also a powerful number.

2101305600 is a `hidden beast` number, since 2 + 101 + 3 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 756470016 + 1344835584 = 27504^2 + 36672^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11001505 + ... + 11001695.

Almost surely, 2^2101305600 is an apocalyptic number.

2101305600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2101305600 is the 45840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101305600

2101305600 is an abundant number, since it is smaller than the sum of its proper divisors (5450875309).

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

2101305600 is an equidigital number, since it uses as much as digits as its factorization.

2101305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 2101305600 is about 1280.8444947956.

Adding to 2101305600 its reverse (65031012), we get a palindrome (2166336612).

The spelling of 2101305600 in words is "two billion, one hundred one million, three hundred five thousand, six hundred".