8105107920 has 640 divisors, whose sum is σ = 32637911040. Its totient is φ = 1617960960.

The previous prime is 8105107877. The next prime is 8105107973. The reversal of 8105107920 is 297015018.

It is a super-3 number, since 3×8105107920³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42435025 + ... + 42435215.

It is an arithmetic number, because the mean of its divisors is an integer number (50996736).

Almost surely, 2^8105107920 is an apocalyptic number.

8105107920 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 8105107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318955520).

8105107920 is an abundant number, since it is smaller than the sum of its proper divisors (24532803120).

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

8105107920 is a wasteful number, since it uses less digits than its factorization.

8105107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 8105107920 is about 90028.3728610042. The cubic root of 8105107920 is about 2008.7209109178.

The spelling of 8105107920 in words is "eight billion, one hundred five million, one hundred seven thousand, nine hundred twenty".