104897160884736 has 1280 divisors, whose sum is σ = 354340749312000. Its totient is φ = 30349066567680.

The previous prime is 104897160884731. The next prime is 104897160884801. The reversal of 104897160884736 is 637488061798401.

104897160884736 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 9 + 7 + 1 + 608 + 8 + 4 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×104897160884736² (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 not an unprimeable number, because it can be changed into a prime (104897160884731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273882926401 + ... + 273882926783.

It is an arithmetic number, because the mean of its divisors is an integer number (276828710400).

Almost surely, 2^{104897160884736} is an apocalyptic number.

104897160884736 is a gapful number since it is divisible by the number (16) 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 104897160884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177170374656000).

104897160884736 is an abundant number, since it is smaller than the sum of its proper divisors (249443588427264).

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

104897160884736 is a wasteful number, since it uses less digits than its factorization.

104897160884736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 104897160884736 in words is "one hundred four trillion, eight hundred ninety-seven billion, one hundred sixty million, eight hundred eighty-four thousand, seven hundred thirty-six".