104817920 has 72 divisors (see below), whose sum is σ = 265895784. Its totient is φ = 39452672.

The previous prime is 104817917. The next prime is 104817953. The reversal of 104817920 is 29718401.

104817920 = T₃₆₉ + T₃₇₀ + ... + T₈₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 99361024 = 2336^2 + 9968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19352 + ... + 24168.

It is an arithmetic number, because the mean of its divisors is an integer number (3692997).

Almost surely, 2^104817920 is an apocalyptic number.

104817920 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 104817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132947892).

104817920 is an abundant number, since it is smaller than the sum of its proper divisors (161077864).

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

104817920 is an equidigital number, since it uses as much as digits as its factorization.

104817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 104817920 is about 10238.0623166691. The cubic root of 104817920 is about 471.4965425628.

The spelling of 104817920 in words is "one hundred four million, eight hundred seventeen thousand, nine hundred twenty".