105338880000 has 750 divisors, whose sum is σ = 396353826176. Its totient is φ = 27869184000.

The previous prime is 105338879903. The next prime is 105338880029. The reversal of 105338880000 is 88833501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (750).

It is a super-2 number, since 2×105338880000² (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 (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439937 + ... + 829440063.

Almost surely, 2^105338880000 is an apocalyptic number.

105338880000 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 105338880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198176913088).

105338880000 is an abundant number, since it is smaller than the sum of its proper divisors (291014946176).

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

105338880000 is an frugal number, since it uses more digits than its factorization.

105338880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 105338880000 in words is "one hundred five billion, three hundred thirty-eight million, eight hundred eighty thousand".