104214004224 has 320 divisors, whose sum is σ = 308510218368. Its totient is φ = 30998528000.

The previous prime is 104214004217. The next prime is 104214004259. The reversal of 104214004224 is 422400412401.

It is a super-3 number, since 3×104214004224³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104214004194 and 104214004203.

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 31 ways as a sum of consecutive naturals, for example, 295223632 + ... + 295223984.

Almost surely, 2^104214004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104214004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154255109184).

104214004224 is an abundant number, since it is smaller than the sum of its proper divisors (204296214144).

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

104214004224 is a wasteful number, since it uses less digits than its factorization.

104214004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104214004224 its reverse (422400412401), we get a palindrome (526614416625).

The spelling of 104214004224 in words is "one hundred four billion, two hundred fourteen million, four thousand, two hundred twenty-four".