104338008684 has 360 divisors, whose sum is σ = 344252443920. Its totient is φ = 27312235776.

The previous prime is 104338008683. The next prime is 104338008689. The reversal of 104338008684 is 486800833401.

It is a super-2 number, since 2×104338008684² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104338008683) 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 119 ways as a sum of consecutive naturals, for example, 28686114 + ... + 28689750.

Almost surely, 2^104338008684 is an apocalyptic number.

104338008684 is a gapful number since it is divisible by the number (14) 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 104338008684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172126221960).

104338008684 is an abundant number, since it is smaller than the sum of its proper divisors (239914435236).

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

104338008684 is a wasteful number, since it uses less digits than its factorization.

104338008684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 104338008684 in words is "one hundred four billion, three hundred thirty-eight million, eight thousand, six hundred eighty-four".