5040100 has 36 divisors (see below), whose sum is σ = 11781364. Its totient is φ = 1860480.

The previous prime is 5040071. The next prime is 5040127. The reversal of 5040100 is 10405.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 4024036 = 1008^2 + 2006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 639 + ... + 3238.

Almost surely, 2^5040100 is an apocalyptic number.

5040100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5040100 is an abundant number, since it is smaller than the sum of its proper divisors (6741264).

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

5040100 is a wasteful number, since it uses less digits than its factorization.

5040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5040100 is about 2245.0167037241. The cubic root of 5040100 is about 171.4535115831.

Adding to 5040100 its reverse (10405), we get a palindrome (5050505).

The spelling of 5040100 in words is "five million, forty thousand, one hundred".