104768840 has 64 divisors (see below), whose sum is σ = 265489920. Its totient is φ = 36864000.

The previous prime is 104768821. The next prime is 104768857. The reversal of 104768840 is 48867401.

It is a junction number, because it is equal to n+sod(n) for n = 104768794 and 104768803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9800 + ... + 17480.

It is an arithmetic number, because the mean of its divisors is an integer number (4148280).

Almost surely, 2^104768840 is an apocalyptic number.

104768840 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 104768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132744960).

104768840 is an abundant number, since it is smaller than the sum of its proper divisors (160721080).

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

104768840 is a wasteful number, since it uses less digits than its factorization.

104768840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 104768840 is about 10235.6650980774. The cubic root of 104768840 is about 471.4229398077.

The spelling of 104768840 in words is "one hundred four million, seven hundred sixty-eight thousand, eight hundred forty".