106009312 has 24 divisors (see below), whose sum is σ = 212247000. Its totient is φ = 52105344.

The previous prime is 106009307. The next prime is 106009327. The reversal of 106009312 is 213900601.

It is a super-2 number, since 2×106009312² = 22475948461426688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26187 + ... + 29962.

It is an arithmetic number, because the mean of its divisors is an integer number (8843625).

Almost surely, 2^106009312 is an apocalyptic number.

It is an amenable number.

106009312 is an abundant number, since it is smaller than the sum of its proper divisors (106237688).

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

106009312 is an equidigital number, since it uses as much as digits as its factorization.

106009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56218 (or 56210 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 106009312 is about 10296.0823617529. The cubic root of 106009312 is about 473.2762072608.

Adding to 106009312 its reverse (213900601), we get a palindrome (319909913).

The spelling of 106009312 in words is "one hundred six million, nine thousand, three hundred twelve".