450106120 has 32 divisors (see below), whose sum is σ = 1021711320. Its totient is φ = 178447360.

The previous prime is 450106117. The next prime is 450106121. The reversal of 450106120 is 21601054.

450106120 is digitally balanced in base 6, 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 4 ways, for example, as 312794596 + 137311524 = 17686^2 + 11718^2 .

It is a super-2 number, since 2×450106120² = 405191038522908800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450106121) 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 7 ways as a sum of consecutive naturals, for example, 45271 + ... + 54310.

Almost surely, 2^450106120 is an apocalyptic number.

450106120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450106120 is an abundant number, since it is smaller than the sum of its proper divisors (571605200).

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

450106120 is a wasteful number, since it uses less digits than its factorization.

450106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99705 (or 99701 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 450106120 is about 21215.7045605372. The cubic root of 450106120 is about 766.3696652568.

Adding to 450106120 its reverse (21601054), we get a palindrome (471707174).

The spelling of 450106120 in words is "four hundred fifty million, one hundred six thousand, one hundred twenty".