104888960640 has 320 divisors, whose sum is σ = 375266655720. Its totient is φ = 27918950400.

The previous prime is 104888960597. The next prime is 104888960641. The reversal of 104888960640 is 46069888401.

104888960640 is a `hidden beast` number, since 10 + 488 + 8 + 96 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104836078656 + 52881984 = 323784^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×104888960640² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104888960641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34264710 + ... + 34267770.

Almost surely, 2^104888960640 is an apocalyptic number.

104888960640 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 104888960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187633327860).

104888960640 is an abundant number, since it is smaller than the sum of its proper divisors (270377695080).

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

104888960640 is an equidigital number, since it uses as much as digits as its factorization.

104888960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 104888960640 in words is "one hundred four billion, eight hundred eighty-eight million, nine hundred sixty thousand, six hundred forty".