2105545200 has 360 divisors, whose sum is σ = 7858965744. Its totient is φ = 479846400.

The previous prime is 2105545193. The next prime is 2105545207. The reversal of 2105545200 is 25455012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2105545193) and next prime (2105545207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105545207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2467974 + ... + 2468826.

Almost surely, 2^2105545200 is an apocalyptic number.

2105545200 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 2105545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929482872).

2105545200 is an abundant number, since it is smaller than the sum of its proper divisors (5753420544).

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

2105545200 is a wasteful number, since it uses less digits than its factorization.

2105545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2105545200 is about 45886.2201537673. The cubic root of 2105545200 is about 1281.7053279155.

The spelling of 2105545200 in words is "two billion, one hundred five million, five hundred forty-five thousand, two hundred".