105386800 has 60 divisors (see below), whose sum is σ = 254180656. Its totient is φ = 41990400.

The previous prime is 105386797. The next prime is 105386849. The reversal of 105386800 is 8683501.

It is a super-2 number, since 2×105386800² = 22212755228480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194530 + ... + 195070.

Almost surely, 2^105386800 is an apocalyptic number.

105386800 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 105386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127090328).

105386800 is an abundant number, since it is smaller than the sum of its proper divisors (148793856).

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

105386800 is a wasteful number, since it uses less digits than its factorization.

105386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105386800 is about 10265.8073233429. The cubic root of 105386800 is about 472.3479910039.

The spelling of 105386800 in words is "one hundred five million, three hundred eighty-six thousand, eight hundred".