4100900 has 36 divisors (see below), whose sum is σ = 9291072. Its totient is φ = 1568160.

The previous prime is 4100881. The next prime is 4100909. The reversal of 4100900 is 90014.

4100900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4100909) 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 11 ways as a sum of consecutive naturals, for example, 1409 + ... + 3191.

Almost surely, 2^4100900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645536).

4100900 is an abundant number, since it is smaller than the sum of its proper divisors (5190172).

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

4100900 is a wasteful number, since it uses less digits than its factorization.

4100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4100900 is about 2025.0679000962. The cubic root of 4100900 is about 160.0637766583.

Adding to 4100900 its reverse (90014), we get a palindrome (4190914).

The spelling of 4100900 in words is "four million, one hundred thousand, nine hundred".