1082105024 has 336 divisors, whose sum is σ = 3113349120. Its totient is φ = 365783040.

The previous prime is 1082105009. The next prime is 1082105027. The reversal of 1082105024 is 4205012801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082105027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520449 + ... + 8520575.

It is an arithmetic number, because the mean of its divisors is an integer number (9265920).

Almost surely, 2^1082105024 is an apocalyptic number.

1082105024 is a gapful number since it is divisible by the number (14) 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 1082105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

1082105024 is an abundant number, since it is smaller than the sum of its proper divisors (2031244096).

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

1082105024 is a wasteful number, since it uses less digits than its factorization.

1082105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1082105024 is about 32895.3647798592. The cubic root of 1082105024 is about 1026.6517169540.

Adding to 1082105024 its reverse (4205012801), we get a palindrome (5287117825).

The spelling of 1082105024 in words is "one billion, eighty-two million, one hundred five thousand, twenty-four".