104200120 has 64 divisors (see below), whose sum is σ = 249376320. Its totient is φ = 39097344.

The previous prime is 104200093. The next prime is 104200133. The reversal of 104200120 is 21002401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 104200097 and 104200106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47692 + ... + 49828.

It is an arithmetic number, because the mean of its divisors is an integer number (3896505).

Almost surely, 2^104200120 is an apocalyptic number.

104200120 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 104200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124688160).

104200120 is an abundant number, since it is smaller than the sum of its proper divisors (145176200).

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

104200120 is a wasteful number, since it uses less digits than its factorization.

104200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104200120 is about 10207.8460019732. The cubic root of 104200120 is about 470.5683783165.

Adding to 104200120 its reverse (21002401), we get a palindrome (125202521).

The spelling of 104200120 in words is "one hundred four million, two hundred thousand, one hundred twenty".