80105964 has 48 divisors (see below), whose sum is σ = 199825920. Its totient is φ = 24914560.

The previous prime is 80105951. The next prime is 80105969. The reversal of 80105964 is 46950108.

It is not an unprimeable number, because it can be changed into a prime (80105969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7777 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (4163040).

Almost surely, 2^80105964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80105964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99912960).

80105964 is an abundant number, since it is smaller than the sum of its proper divisors (119719956).

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

80105964 is a wasteful number, since it uses less digits than its factorization.

80105964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 80105964 is about 8950.1935174609. The cubic root of 80105964 is about 431.0770978369.

The spelling of 80105964 in words is "eighty million, one hundred five thousand, nine hundred sixty-four".