10104935680 has 144 divisors (see below), whose sum is σ = 29118660480. Its totient is φ = 3282149376.

The previous prime is 10104935669. The next prime is 10104935683. The reversal of 10104935680 is 8653940101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104935683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140562 + ... + 199918.

It is an arithmetic number, because the mean of its divisors is an integer number (202212920).

Almost surely, 2^10104935680 is an apocalyptic number.

10104935680 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 10104935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559330240).

10104935680 is an abundant number, since it is smaller than the sum of its proper divisors (19013724800).

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

10104935680 is an equidigital number, since it uses as much as digits as its factorization.

10104935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59404 (or 59390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 10104935680 in words is "ten billion, one hundred four million, nine hundred thirty-five thousand, six hundred eighty".