105388800000 has 576 divisors, whose sum is σ = 383881680000. Its totient is φ = 25497600000.

The previous prime is 105388799981. The next prime is 105388800001. The reversal of 105388800000 is 8883501.

It is a super-2 number, since 2×105388800000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105388800001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 211199751 + ... + 211200249.

It is an arithmetic number, because the mean of its divisors is an integer number (666461250).

Almost surely, 2^105388800000 is an apocalyptic number.

105388800000 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 105388800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840000).

105388800000 is an abundant number, since it is smaller than the sum of its proper divisors (278492880000).

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

105388800000 is an frugal number, since it uses more digits than its factorization.

105388800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 105388800000 in words is "one hundred five billion, three hundred eighty-eight million, eight hundred thousand".