105043800 has 96 divisors (see below), whose sum is σ = 336920400. Its totient is φ = 27041280.

The previous prime is 105043793. The next prime is 105043811. The reversal of 105043800 is 8340501.

It is a super-2 number, since 2×105043800² = 22068399836880000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 14382 + ... + 20418.

Almost surely, 2^105043800 is an apocalyptic number.

105043800 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 105043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168460200).

105043800 is an abundant number, since it is smaller than the sum of its proper divisors (231876600).

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

105043800 is a wasteful number, since it uses less digits than its factorization.

105043800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105043800 is about 10249.0877642842. The cubic root of 105043800 is about 471.8349873240.

It can be divided in two parts, 1050 and 43800, that added together give a triangular number (44850 = T₂₉₉).

The spelling of 105043800 in words is "one hundred five million, forty-three thousand, eight hundred".