104442120 has 96 divisors (see below), whose sum is σ = 348655320. Its totient is φ = 27095040.

The previous prime is 104442119. The next prime is 104442127. The reversal of 104442120 is 21244401.

Added to its reverse (21244401) it gives a square (125686521 = 11211²).

104442120 is a `hidden beast` number, since 10 + 444 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94595076 + 9847044 = 9726^2 + 3138^2 .

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 = 104442093 and 104442102.

It is not an unprimeable number, because it can be changed into a prime (104442127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9400 + ... + 17240.

Almost surely, 2^104442120 is an apocalyptic number.

104442120 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 104442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174327660).

104442120 is an abundant number, since it is smaller than the sum of its proper divisors (244213200).

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

104442120 is a wasteful number, since it uses less digits than its factorization.

104442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104442120 is about 10219.6927546771. The cubic root of 104442120 is about 470.9323878227.

Adding to 104442120 its reverse (21244401), we get a palindrome (125686521).

The spelling of 104442120 in words is "one hundred four million, four hundred forty-two thousand, one hundred twenty".