441122106 has 32 divisors (see below), whose sum is σ = 925286400. Its totient is φ = 139932144.

The previous prime is 441122081. The next prime is 441122131. The reversal of 441122106 is 601221144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (441122081) and next prime (441122131).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19431 + ... + 35493.

It is an arithmetic number, because the mean of its divisors is an integer number (28915200).

Almost surely, 2^441122106 is an apocalyptic number.

441122106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

441122106 is an abundant number, since it is smaller than the sum of its proper divisors (484164294).

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

441122106 is a wasteful number, since it uses less digits than its factorization.

441122106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 441122106 is about 21002.9070844967. The cubic root of 441122106 is about 761.2365062953.

The spelling of 441122106 in words is "four hundred forty-one million, one hundred twenty-two thousand, one hundred six".