104681963520 has 800 divisors, whose sum is σ = 411083343000. Its totient is φ = 25367150592.

The previous prime is 104681963497. The next prime is 104681963521. The reversal of 104681963520 is 25369186401.

104681963520 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 8 + 1 + 9 + 635 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95317917696 + 9364045824 = 308736^2 + 96768^2 .

It is a super-2 number, since 2×104681963520² (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 (104681963521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3609722866 + ... + 3609722894.

Almost surely, 2^104681963520 is an apocalyptic number.

104681963520 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 104681963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205541671500).

104681963520 is an abundant number, since it is smaller than the sum of its proper divisors (306401379480).

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

104681963520 is an frugal number, since it uses more digits than its factorization.

104681963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 104681963520 in words is "one hundred four billion, six hundred eighty-one million, nine hundred sixty-three thousand, five hundred twenty".