104212725408 has 144 divisors (see below), whose sum is σ = 325166770656. Its totient is φ = 31396907520.

The previous prime is 104212725347. The next prime is 104212725443. The reversal of 104212725408 is 804527212401.

104212725408 is a `hidden beast` number, since 1 + 0 + 42 + 1 + 2 + 72 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452991 + ... + 643137.

It is an arithmetic number, because the mean of its divisors is an integer number (2258102574).

Almost surely, 2^104212725408 is an apocalyptic number.

104212725408 is a gapful number since it is divisible by the number (18) 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 104212725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162583385328).

104212725408 is an abundant number, since it is smaller than the sum of its proper divisors (220954045248).

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

104212725408 is a wasteful number, since it uses less digits than its factorization.

104212725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190347 (or 190336 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 104212725408 its reverse (804527212401), we get a palindrome (908739937809).

The spelling of 104212725408 in words is "one hundred four billion, two hundred twelve million, seven hundred twenty-five thousand, four hundred eight".