41200100 has 18 divisors (see below), whose sum is σ = 89404434. Its totient is φ = 16480000.

The previous prime is 41200091. The next prime is 41200111. The reversal of 41200100 is 100214.

41200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11888704 + 29311396 = 3448^2 + 5414^2 .

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 5 ways as a sum of consecutive naturals, for example, 205901 + ... + 206100.

It is an arithmetic number, because the mean of its divisors is an integer number (4966913).

Almost surely, 2^41200100 is an apocalyptic number.

It is an amenable number.

41200100 is an abundant number, since it is smaller than the sum of its proper divisors (48204334).

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

41200100 is a wasteful number, since it uses less digits than its factorization.

41200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412015 (or 412008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41200100 is about 6418.7304040597. The cubic root of 41200100 is about 345.3817799816.

Adding to 41200100 its reverse (100214), we get a palindrome (41300314).

The spelling of 41200100 in words is "forty-one million, two hundred thousand, one hundred".