104785920 has 192 divisors, whose sum is σ = 373464000. Its totient is φ = 27869184.

The previous prime is 104785913. The next prime is 104785939. The reversal of 104785920 is 29587401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276291 + ... + 276669.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^104785920 is an apocalyptic number.

104785920 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 104785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

104785920 is an abundant number, since it is smaller than the sum of its proper divisors (268678080).

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

104785920 is an equidigital number, since it uses as much as digits as its factorization.

104785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104785920 is about 10236.4994016509. The cubic root of 104785920 is about 471.4485564137.

The spelling of 104785920 in words is "one hundred four million, seven hundred eighty-five thousand, nine hundred twenty".