104880989306880 has 320 divisors, whose sum is σ = 376012079073180. Its totient is φ = 27968260276224.

The previous prime is 104880989306879. The next prime is 104880989306881. The reversal of 104880989306880 is 88603989088401.

104880989306880 is a `hidden beast` number, since 1 + 0 + 488 + 0 + 9 + 8 + 9 + 3 + 0 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (104880989306879) and next prime (104880989306881).

It can be written as a sum of positive squares in 2 ways, for example, as 98358155034624 + 6522834272256 = 9917568^2 + 2553984^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×104880989306880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 104880989306799 and 104880989306808.

It is not an unprimeable number, because it can be changed into a prime (104880989306881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9319542 + ... + 17222538.

Almost surely, 2^{104880989306880} is an apocalyptic number.

104880989306880 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 104880989306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006039536590).

104880989306880 is an abundant number, since it is smaller than the sum of its proper divisors (271131089766300).

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

104880989306880 is an frugal number, since it uses more digits than its factorization.

104880989306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903044 (or 7903007 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 104880989306880 in words is "one hundred four trillion, eight hundred eighty billion, nine hundred eighty-nine million, three hundred six thousand, eight hundred eighty".