4980105 has 24 divisors (see below), whose sum is σ = 9297288. Its totient is φ = 2451456.

The previous prime is 4980103. The next prime is 4980113. The reversal of 4980105 is 5010894.

It can be written as a sum of positive squares in 4 ways, for example, as 915849 + 4064256 = 957^2 + 2016^2 .

It is not a de Polignac number, because 4980105 - 2¹ = 4980103 is a prime.

It is a super-2 number, since 2×4980105² = 49602891622050, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4980103) 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, 3672 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (387387).

Almost surely, 2^4980105 is an apocalyptic number.

4980105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4980105 is a deficient number, since it is larger than the sum of its proper divisors (4317183).

4980105 is a wasteful number, since it uses less digits than its factorization.

4980105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4980105 is about 2231.6148861307. The cubic root of 4980105 is about 170.7704933791.

Adding to 4980105 its reverse (5010894), we get a palindrome (9990999).

The spelling of 4980105 in words is "four million, nine hundred eighty thousand, one hundred five".