8105241600 has 396 divisors, whose sum is σ = 29354700544. Its totient is φ = 2136637440.

The previous prime is 8105241569. The next prime is 8105241601. The reversal of 8105241600 is 61425018.

8105241600 is a `hidden beast` number, since 8 + 1 + 0 + 52 + 4 + 1 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (8105241601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29260662 + ... + 29260938.

Almost surely, 2^8105241600 is an apocalyptic number.

8105241600 is a gapful number since it is divisible by the number (80) 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 8105241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677350272).

8105241600 is an abundant number, since it is smaller than the sum of its proper divisors (21249458944).

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

8105241600 is a wasteful number, since it uses less digits than its factorization.

8105241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8105241600 is about 90029.1152905548. The cubic root of 8105241600 is about 2008.7319543379.

Adding to 8105241600 its reverse (61425018), we get a palindrome (8166666618).

The spelling of 8105241600 in words is "eight billion, one hundred five million, two hundred forty-one thousand, six hundred".