1082100960 has 288 divisors, whose sum is σ = 3821755392. Its totient is φ = 278691840.

The previous prime is 1082100959. The next prime is 1082100979. The reversal of 1082100960 is 690012801.

1082100960 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520417 + ... + 8520543.

It is an arithmetic number, because the mean of its divisors is an integer number (13269984).

Almost surely, 2^1082100960 is an apocalyptic number.

1082100960 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 1082100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910877696).

1082100960 is an abundant number, since it is smaller than the sum of its proper divisors (2739654432).

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

1082100960 is a wasteful number, since it uses less digits than its factorization.

1082100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1082100960 is about 32895.3030081804. The cubic root of 1082100960 is about 1026.6504317067.

The spelling of 1082100960 in words is "one billion, eighty-two million, one hundred thousand, nine hundred sixty".