104721920 has 80 divisors (see below), whose sum is σ = 264425040. Its totient is φ = 39665664.

The previous prime is 104721919. The next prime is 104721923. The reversal of 104721920 is 29127401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 104721920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104721923) 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 7 ways as a sum of consecutive naturals, for example, 47564 + ... + 49716.

It is an arithmetic number, because the mean of its divisors is an integer number (3305313).

Almost surely, 2^104721920 is an apocalyptic number.

104721920 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 104721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132212520).

104721920 is an abundant number, since it is smaller than the sum of its proper divisors (159703120).

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

104721920 is an equidigital number, since it uses as much as digits as its factorization.

104721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 104721920 is about 10233.3728555154. The cubic root of 104721920 is about 471.3525547990.

The spelling of 104721920 in words is "one hundred four million, seven hundred twenty-one thousand, nine hundred twenty".