104880985625920 has 168 divisors, whose sum is σ = 290533209712200. Its totient is φ = 35957932093440.

The previous prime is 104880985625869. The next prime is 104880985625959. The reversal of 104880985625920 is 29526589088401.

It can be written as a sum of positive squares in 4 ways, for example, as 18613149975616 + 86267835650304 = 4314296^2 + 9288048^2 .

It is a super-2 number, since 2×104880985625920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519675430 + ... + 519877210.

It is an arithmetic number, because the mean of its divisors is an integer number (1729364343525).

Almost surely, 2^{104880985625920} is an apocalyptic number.

104880985625920 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 104880985625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145266604856100).

104880985625920 is an abundant number, since it is smaller than the sum of its proper divisors (185652224086280).

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

104880985625920 is a wasteful number, since it uses less digits than its factorization.

104880985625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234961 (or 234944 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 67.

The spelling of 104880985625920 in words is "one hundred four trillion, eight hundred eighty billion, nine hundred eighty-five million, six hundred twenty-five thousand, nine hundred twenty".