104289945760 has 768 divisors, whose sum is σ = 343531238400. Its totient is φ = 29479403520.

The previous prime is 104289945719. The next prime is 104289945761. The reversal of 104289945760 is 67549982401.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (104289945761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 761240412 + ... + 761240548.

It is an arithmetic number, because the mean of its divisors is an integer number (447306300).

Almost surely, 2^104289945760 is an apocalyptic number.

104289945760 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 104289945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171765619200).

104289945760 is an abundant number, since it is smaller than the sum of its proper divisors (239241292640).

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

104289945760 is a wasteful number, since it uses less digits than its factorization.

104289945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 104289945760 in words is "one hundred four billion, two hundred eighty-nine million, nine hundred forty-five thousand, seven hundred sixty".