106445312 has 80 divisors (see below), whose sum is σ = 225387360. Its totient is φ = 50147328.

The previous prime is 106445309. The next prime is 106445321. The reversal of 106445312 is 213544601.

It is a super-2 number, since 2×106445312² = 22661208893554688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994763 + ... + 994869.

It is an arithmetic number, because the mean of its divisors is an integer number (2817342).

Almost surely, 2^106445312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112693680).

106445312 is an abundant number, since it is smaller than the sum of its proper divisors (118942048).

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

106445312 is an equidigital number, since it uses as much as digits as its factorization.

106445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 106445312 is about 10317.2337377807. The cubic root of 106445312 is about 473.9241571877.

Adding to 106445312 its reverse (213544601), we get a palindrome (319989913).

The spelling of 106445312 in words is "one hundred six million, four hundred forty-five thousand, three hundred twelve".