1024105096 has 48 divisors (see below), whose sum is σ = 2237285340. Its totient is φ = 438197760.

The previous prime is 1024105081. The next prime is 1024105127. The reversal of 1024105096 is 6905014201.

It can be written as a sum of positive squares in 2 ways, for example, as 827712900 + 196392196 = 28770^2 + 14014^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296596 + ... + 300028.

Almost surely, 2^1024105096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024105096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118642670).

1024105096 is an abundant number, since it is smaller than the sum of its proper divisors (1213180244).

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

1024105096 is a wasteful number, since it uses less digits than its factorization.

1024105096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1024105096 is about 32001.6420828682. The cubic root of 1024105096 is about 1007.9713212005.

Adding to 1024105096 its reverse (6905014201), we get a palindrome (7929119297).

The spelling of 1024105096 in words is "one billion, twenty-four million, one hundred five thousand, ninety-six".