105044800 has 168 divisors, whose sum is σ = 301605696. Its totient is φ = 35266560.

The previous prime is 105044791. The next prime is 105044809. The reversal of 105044800 is 8440501.

It is an interprime number because it is at equal distance from previous prime (105044791) and next prime (105044809).

It is a super-2 number, since 2×105044800² = 22068820014080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929544 + ... + 929656.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^105044800 is an apocalyptic number.

105044800 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 105044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

105044800 is an abundant number, since it is smaller than the sum of its proper divisors (196560896).

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

105044800 is a wasteful number, since it uses less digits than its factorization.

105044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105044800 is about 10249.1365489977. The cubic root of 105044800 is about 471.8364845835.

The spelling of 105044800 in words is "one hundred five million, forty-four thousand, eight hundred".