105338660800 has 84 divisors (see below), whose sum is σ = 259315701840. Its totient is φ = 42116485120.

The previous prime is 105338660773. The next prime is 105338660807. The reversal of 105338660800 is 8066833501.

It is a super-2 number, since 2×105338660800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338660807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3853581 + ... + 3880819.

Almost surely, 2^105338660800 is an apocalyptic number.

105338660800 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 105338660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129657850920).

105338660800 is an abundant number, since it is smaller than the sum of its proper divisors (153977041040).

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

105338660800 is a wasteful number, since it uses less digits than its factorization.

105338660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29678 (or 29663 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 105338660800 in words is "one hundred five billion, three hundred thirty-eight million, six hundred sixty thousand, eight hundred".