2105115360 has 96 divisors (see below), whose sum is σ = 6645058560. Its totient is φ = 560183808.

The previous prime is 2105115349. The next prime is 2105115361. The reversal of 2105115360 is 635115012.

2105115360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2105115360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105115361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237081 + ... + 245799.

It is an arithmetic number, because the mean of its divisors is an integer number (69219360).

Almost surely, 2^2105115360 is an apocalyptic number.

2105115360 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 2105115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322529280).

2105115360 is an abundant number, since it is smaller than the sum of its proper divisors (4539943200).

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

2105115360 is a wasteful number, since it uses less digits than its factorization.

2105115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2105115360 is about 45881.5361556258. The cubic root of 2105115360 is about 1281.6181033632.

The spelling of 2105115360 in words is "two billion, one hundred five million, one hundred fifteen thousand, three hundred sixty".