104821668 has 96 divisors (see below), whose sum is σ = 315813120. Its totient is φ = 29445120.

The previous prime is 104821667. The next prime is 104821669. The reversal of 104821668 is 866128401.

104821668 is a `hidden beast` number, since 10 + 482 + 166 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (104821667) and next prime (104821669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104821663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44980 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (3289720).

Almost surely, 2^104821668 is an apocalyptic number.

104821668 is a gapful number since it is divisible by the number (18) 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 104821668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157906560).

104821668 is an abundant number, since it is smaller than the sum of its proper divisors (210991452).

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

104821668 is a wasteful number, since it uses less digits than its factorization.

104821668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 104821668 is about 10238.2453574819. The cubic root of 104821668 is about 471.5021623016.

The spelling of 104821668 in words is "one hundred four million, eight hundred twenty-one thousand, six hundred sixty-eight".