8105011200 has 1152 divisors, whose sum is σ = 35828956800. Its totient is φ = 1769472000.

The previous prime is 8105011199. The next prime is 8105011217. The reversal of 8105011200 is 21105018.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197683180 + ... + 197683220.

It is an arithmetic number, because the mean of its divisors is an integer number (31101525).

Almost surely, 2^8105011200 is an apocalyptic number.

8105011200 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 8105011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914478400).

8105011200 is an abundant number, since it is smaller than the sum of its proper divisors (27723945600).

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

8105011200 is a wasteful number, since it uses less digits than its factorization.

8105011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 8105011200 is about 90027.8356954114. The cubic root of 8105011200 is about 2008.7129207195.

Adding to 8105011200 its reverse (21105018), we get a palindrome (8126116218).

The spelling of 8105011200 in words is "eight billion, one hundred five million, eleven thousand, two hundred".