104159248960 has 336 divisors, whose sum is σ = 282022448400. Its totient is φ = 36378574848.

The previous prime is 104159248957. The next prime is 104159248981. The reversal of 104159248960 is 69842951401.

It can be written as a sum of positive squares in 24 ways, for example, as 95016829504 + 9142419456 = 308248^2 + 95616^2 .

It is a super-2 number, since 2×104159248960² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955589386 + ... + 955589494.

It is an arithmetic number, because the mean of its divisors is an integer number (839352525).

Almost surely, 2^104159248960 is an apocalyptic number.

104159248960 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 104159248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141011224200).

104159248960 is an abundant number, since it is smaller than the sum of its proper divisors (177863199440).

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

104159248960 is a wasteful number, since it uses less digits than its factorization.

104159248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 104159248960 in words is "one hundred four billion, one hundred fifty-nine million, two hundred forty-eight thousand, nine hundred sixty".