2105231985360 has 960 divisors, whose sum is σ = 8764976862720. Its totient is φ = 442164510720.

The previous prime is 2105231985277. The next prime is 2105231985371. The reversal of 2105231985360 is 635891325012.

2105231985360 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 23 + 1 + 98 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426416812 + ... + 426421748.

It is an arithmetic number, because the mean of its divisors is an integer number (9130184232).

Almost surely, 2^{2105231985360} is an apocalyptic number.

2105231985360 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 2105231985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382488431360).

2105231985360 is an abundant number, since it is smaller than the sum of its proper divisors (6659744877360).

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

2105231985360 is a wasteful number, since it uses less digits than its factorization.

2105231985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2105231985360 in words is "two trillion, one hundred five billion, two hundred thirty-one million, nine hundred eighty-five thousand, three hundred sixty".