4800105 has 12 divisors (see below), whose sum is σ = 8320260. Its totient is φ = 2560032.

The previous prime is 4800101. The next prime is 4800113. The reversal of 4800105 is 5010084.

It can be written as a sum of positive squares in 2 ways, for example, as 974169 + 3825936 = 987^2 + 1956^2 .

It is not a de Polignac number, because 4800105 - 2² = 4800101 is a prime.

It is a super-2 number, since 2×4800105² = 46082016022050, which contains 22 as substring.

4800105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800101) 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, 53290 + ... + 53379.

It is an arithmetic number, because the mean of its divisors is an integer number (693355).

Almost surely, 2^4800105 is an apocalyptic number.

4800105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4800105 is a deficient number, since it is larger than the sum of its proper divisors (3520155).

4800105 is a wasteful number, since it uses less digits than its factorization.

4800105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106680 (or 106677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4800105 is about 2190.9141927515. The cubic root of 4800105 is about 168.6877630574.

Adding to 4800105 its reverse (5010084), we get a palindrome (9810189).

The spelling of 4800105 in words is "four million, eight hundred thousand, one hundred five".