104911678080 has 576 divisors, whose sum is σ = 408603929760. Its totient is φ = 24598425600.

The previous prime is 104911678051. The next prime is 104911678087. The reversal of 104911678080 is 80876119401.

It is a happy number.

104911678080 is a `hidden beast` number, since 1 + 0 + 491 + 1 + 6 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×104911678080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104911678087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60888099 + ... + 60889821.

Almost surely, 2^104911678080 is an apocalyptic number.

104911678080 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 104911678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204301964880).

104911678080 is an abundant number, since it is smaller than the sum of its proper divisors (303692251680).

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

104911678080 is a wasteful number, since it uses less digits than its factorization.

104911678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 104911678080 in words is "one hundred four billion, nine hundred eleven million, six hundred seventy-eight thousand, eighty".