104832760680 has 256 divisors, whose sum is σ = 368174880000. Its totient is φ = 26459550720.

The previous prime is 104832760657. The next prime is 104832760733. The reversal of 104832760680 is 86067238401.

104832760680 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 32 + 7 + 606 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34246350 + ... + 34249410.

It is an arithmetic number, because the mean of its divisors is an integer number (1438183125).

Almost surely, 2^104832760680 is an apocalyptic number.

104832760680 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 104832760680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184087440000).

104832760680 is an abundant number, since it is smaller than the sum of its proper divisors (263342119320).

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

104832760680 is a wasteful number, since it uses less digits than its factorization.

104832760680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 104832760680 in words is "one hundred four billion, eight hundred thirty-two million, seven hundred sixty thousand, six hundred eighty".