104406120 has 192 divisors, whose sum is σ = 417755520. Its totient is φ = 22021632.

The previous prime is 104406101. The next prime is 104406143. The reversal of 104406120 is 21604401.

104406120 is a `hidden beast` number, since 10 + 4 + 40 + 612 + 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 = 104406093 and 104406102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31167 + ... + 34353.

It is an arithmetic number, because the mean of its divisors is an integer number (2175810).

Almost surely, 2^104406120 is an apocalyptic number.

104406120 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 104406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208877760).

104406120 is an abundant number, since it is smaller than the sum of its proper divisors (313349400).

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

104406120 is a wasteful number, since it uses less digits than its factorization.

104406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104406120 is about 10217.9312974790. The cubic root of 104406120 is about 470.8782732750.

The spelling of 104406120 in words is "one hundred four million, four hundred six thousand, one hundred twenty".