105338800 has 120 divisors (see below), whose sum is σ = 306382176. Its totient is φ = 33976320.

The previous prime is 105338773. The next prime is 105338809. The reversal of 105338800 is 8833501.

It is a super-2 number, since 2×105338800² = 22192525570880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105338809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46494 + ... + 48706.

Almost surely, 2^105338800 is an apocalyptic number.

105338800 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 105338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153191088).

105338800 is an abundant number, since it is smaller than the sum of its proper divisors (201043376).

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

105338800 is a wasteful number, since it uses less digits than its factorization.

105338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105338800 is about 10263.4691990574. The cubic root of 105338800 is about 472.2762674527.

The spelling of 105338800 in words is "one hundred five million, three hundred thirty-eight thousand, eight hundred".