8107105440 has 576 divisors, whose sum is σ = 32028272640. Its totient is φ = 1683763200.

The previous prime is 8107105397. The next prime is 8107105441. The reversal of 8107105440 is 445017018.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8107105398 and 8107105407.

It is not an unprimeable number, because it can be changed into a prime (8107105441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53689365 + ... + 53689515.

It is an arithmetic number, because the mean of its divisors is an integer number (55604640).

Almost surely, 2^8107105440 is an apocalyptic number.

8107105440 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 8107105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014136320).

8107105440 is an abundant number, since it is smaller than the sum of its proper divisors (23921167200).

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

8107105440 is a wasteful number, since it uses less digits than its factorization.

8107105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8107105440 is about 90039.4660135210. The cubic root of 8107105440 is about 2008.8859151206.

The spelling of 8107105440 in words is "eight billion, one hundred seven million, one hundred five thousand, four hundred forty".