2105417160 has 384 divisors, whose sum is σ = 8604610560. Its totient is φ = 433728000.

The previous prime is 2105417147. The next prime is 2105417201. The reversal of 2105417160 is 617145012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4185469 + ... + 4185971.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^2105417160 is an apocalyptic number.

2105417160 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 2105417160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2105417160 is an abundant number, since it is smaller than the sum of its proper divisors (6499193400).

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

2105417160 is a wasteful number, since it uses less digits than its factorization.

2105417160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2105417160 is about 45884.8249424578. The cubic root of 2105417160 is about 1281.6793468574.

The spelling of 2105417160 in words is "two billion, one hundred five million, four hundred seventeen thousand, one hundred sixty".