104883811200 has 1536 divisors, whose sum is σ = 465244032000. Its totient is φ = 22574039040.

The previous prime is 104883811189. The next prime is 104883811211. The reversal of 104883811200 is 2118388401.

It is an interprime number because it is at equal distance from previous prime (104883811189) and next prime (104883811211).

It is a super-2 number, since 2×104883811200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 962236746 + ... + 962236854.

It is an arithmetic number, because the mean of its divisors is an integer number (302893250).

Almost surely, 2^104883811200 is an apocalyptic number.

104883811200 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 104883811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622016000).

104883811200 is an abundant number, since it is smaller than the sum of its proper divisors (360360220800).

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

104883811200 is a wasteful number, since it uses less digits than its factorization.

104883811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 104883811200 in words is "one hundred four billion, eight hundred eighty-three million, eight hundred eleven thousand, two hundred".