1082108160 has 648 divisors, whose sum is σ = 4580162496. Its totient is φ = 243855360.

The previous prime is 1082108107. The next prime is 1082108161. The reversal of 1082108160 is 618012801.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1082108161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240925 + ... + 15240995.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^1082108160 is an apocalyptic number.

1082108160 is a gapful number since it is divisible by the number (10) 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 1082108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290081248).

1082108160 is an abundant number, since it is smaller than the sum of its proper divisors (3498054336).

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

1082108160 is an frugal number, since it uses more digits than its factorization.

1082108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1082108160 is about 32895.4124461147. The cubic root of 1082108160 is about 1026.6527087175.

The spelling of 1082108160 in words is "one billion, eighty-two million, one hundred eight thousand, one hundred sixty".