104707088640 has 1728 divisors, whose sum is σ = 482809152000. Its totient is φ = 21459271680.

The previous prime is 104707088621. The next prime is 104707088669. The reversal of 104707088640 is 46880707401.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×104707088640² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1434343644 + ... + 1434343716.

Almost surely, 2^104707088640 is an apocalyptic number.

104707088640 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 104707088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241404576000).

104707088640 is an abundant number, since it is smaller than the sum of its proper divisors (378102063360).

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

104707088640 is an equidigital number, since it uses as much as digits as its factorization.

104707088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 104707088640 in words is "one hundred four billion, seven hundred seven million, eighty-eight thousand, six hundred forty".