2105288600 has 96 divisors (see below), whose sum is σ = 5035206000. Its totient is φ = 818173440.

The previous prime is 2105288593. The next prime is 2105288639. The reversal of 2105288600 is 68825012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968866 + ... + 1969934.

Almost surely, 2^2105288600 is an apocalyptic number.

2105288600 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 2105288600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517603000).

2105288600 is an abundant number, since it is smaller than the sum of its proper divisors (2929917400).

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

2105288600 is a wasteful number, since it uses less digits than its factorization.

2105288600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2105288600 is about 45883.4240221891. The cubic root of 2105288600 is about 1281.6532592243.

The spelling of 2105288600 in words is "two billion, one hundred five million, two hundred eighty-eight thousand, six hundred".