104625212224 has 168 divisors, whose sum is σ = 230345269560. Its totient is φ = 47111380992.

The previous prime is 104625212221. The next prime is 104625212239. The reversal of 104625212224 is 422212526401.

It can be written as a sum of positive squares in 12 ways, for example, as 17108640000 + 87516572224 = 130800^2 + 295832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104625212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131273394 + ... + 131274190.

It is an arithmetic number, because the mean of its divisors is an integer number (1371102795).

Almost surely, 2^104625212224 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 104625212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115172634780).

104625212224 is an abundant number, since it is smaller than the sum of its proper divisors (125720057336).

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

104625212224 is a wasteful number, since it uses less digits than its factorization.

104625212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 104625212224 its reverse (422212526401), we get a palindrome (526837738625).

The spelling of 104625212224 in words is "one hundred four billion, six hundred twenty-five million, two hundred twelve thousand, two hundred twenty-four".