104205120 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 25288704.

The previous prime is 104205113. The next prime is 104205131. The reversal of 104205120 is 21502401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104205120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528862 + ... + 529058.

Almost surely, 2^104205120 is an apocalyptic number.

104205120 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 104205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

104205120 is an abundant number, since it is smaller than the sum of its proper divisors (257897280).

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

104205120 is a wasteful number, since it uses less digits than its factorization.

104205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 104205120 is about 10208.0909086861. The cubic root of 104205120 is about 470.5759048730.

Adding to 104205120 its reverse (21502401), we get a palindrome (125707521).

The spelling of 104205120 in words is "one hundred four million, two hundred five thousand, one hundred twenty".