104823945600 has 1152 divisors, whose sum is σ = 406953953280. Its totient is φ = 23654400000.

The previous prime is 104823945581. The next prime is 104823945637. The reversal of 104823945600 is 6549328401.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1476393565 + ... + 1476393635.

It is an arithmetic number, because the mean of its divisors is an integer number (353258640).

Almost surely, 2^104823945600 is an apocalyptic number.

104823945600 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 104823945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203476976640).

104823945600 is an abundant number, since it is smaller than the sum of its proper divisors (302130007680).

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

104823945600 is a wasteful number, since it uses less digits than its factorization.

104823945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 104823945600 in words is "one hundred four billion, eight hundred twenty-three million, nine hundred forty-five thousand, six hundred".