41100906 has 96 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 10466400.

The previous prime is 41100893. The next prime is 41100911. The reversal of 41100906 is 60900114.

41100906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 229525 + ... + 229703.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 2^41100906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

41100906 is an abundant number, since it is smaller than the sum of its proper divisors (65274774).

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

41100906 is a wasteful number, since it uses less digits than its factorization.

41100906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 41100906 is about 6410.9988301356. The cubic root of 41100906 is about 345.1043750568.

The spelling of 41100906 in words is "forty-one million, one hundred thousand, nine hundred six".