104966882720 has 144 divisors (see below), whose sum is σ = 298419425640. Its totient is φ = 34747582464.

The previous prime is 104966882701. The next prime is 104966882731. The reversal of 104966882720 is 27288669401.

It can be written as a sum of positive squares in 4 ways, for example, as 80721901456 + 24244981264 = 284116^2 + 155708^2 .

It is a super-2 number, since 2×104966882720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3479 + ... + 458198.

Almost surely, 2^104966882720 is an apocalyptic number.

104966882720 is a gapful number since it is divisible by the number (10) 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 104966882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149209712820).

104966882720 is an abundant number, since it is smaller than the sum of its proper divisors (193452542920).

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

104966882720 is a wasteful number, since it uses less digits than its factorization.

104966882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461735 (or 461720 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 104966882720 in words is "one hundred four billion, nine hundred sixty-six million, eight hundred eighty-two thousand, seven hundred twenty".