104505120 has 192 divisors, whose sum is σ = 387555840. Its totient is φ = 26210304.

The previous prime is 104505109. The next prime is 104505127. The reversal of 104505120 is 21505401.

104505120 is a `hidden beast` number, since 104 + 50 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104505093 and 104505102.

It is not an unprimeable number, because it can be changed into a prime (104505127) 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 31 ways as a sum of consecutive naturals, for example, 72729 + ... + 74151.

It is an arithmetic number, because the mean of its divisors is an integer number (2018520).

Almost surely, 2^104505120 is an apocalyptic number.

104505120 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 104505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193777920).

104505120 is an abundant number, since it is smaller than the sum of its proper divisors (283050720).

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

104505120 is a wasteful number, since it uses less digits than its factorization.

104505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 104505120 is about 10222.7745744490. The cubic root of 104505120 is about 471.0270583668.

The spelling of 104505120 in words is "one hundred four million, five hundred five thousand, one hundred twenty".