104712413520 has 480 divisors, whose sum is σ = 396725143680. Its totient is φ = 22621347840.

The previous prime is 104712413503. The next prime is 104712413527. The reversal of 104712413520 is 25314217401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104712413527) 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 95 ways as a sum of consecutive naturals, for example, 12934594 + ... + 12942686.

It is an arithmetic number, because the mean of its divisors is an integer number (826510716).

Almost surely, 2^104712413520 is an apocalyptic number.

104712413520 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 104712413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198362571840).

104712413520 is an abundant number, since it is smaller than the sum of its proper divisors (292012730160).

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

104712413520 is a wasteful number, since it uses less digits than its factorization.

104712413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 104712413520 in words is "one hundred four billion, seven hundred twelve million, four hundred thirteen thousand, five hundred twenty".