104245202880 has 2016 divisors, whose sum is σ = 488351047680. Its totient is φ = 20832215040.

The previous prime is 104245202851. The next prime is 104245202881. The reversal of 104245202880 is 88202542401.

104245202880 is a `hidden beast` number, since 10 + 4 + 24 + 520 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104245202881) 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 287 ways as a sum of consecutive naturals, for example, 2217983017 + ... + 2217983063.

Almost surely, 2^104245202880 is an apocalyptic number.

104245202880 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 104245202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244175523840).

104245202880 is an abundant number, since it is smaller than the sum of its proper divisors (384105844800).

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

104245202880 is a wasteful number, since it uses less digits than its factorization.

104245202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 104245202880 in words is "one hundred four billion, two hundred forty-five million, two hundred two thousand, eight hundred eighty".