80105120 has 48 divisors (see below), whose sum is σ = 191160648. Its totient is φ = 31718400.

The previous prime is 80105119. The next prime is 80105153. The reversal of 80105120 is 2150108.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 38416 = 8948^2 + 196^2 .

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 7 ways as a sum of consecutive naturals, for example, 13682 + ... + 18638.

Almost surely, 2^80105120 is an apocalyptic number.

80105120 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 80105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95580324).

80105120 is an abundant number, since it is smaller than the sum of its proper divisors (111055528).

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

80105120 is a wasteful number, since it uses less digits than its factorization.

80105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 80105120 is about 8950.1463675182. The cubic root of 80105120 is about 431.0755838824.

Adding to 80105120 its reverse (2150108), we get a palindrome (82255228).

The spelling of 80105120 in words is "eighty million, one hundred five thousand, one hundred twenty".