106313312 has 48 divisors (see below), whose sum is σ = 241097472. Its totient is φ = 45202560.

The previous prime is 106313297. The next prime is 106313371. The reversal of 106313312 is 213313601.

It is a happy number.

It is a super-2 number, since 2×106313312² = 22605040616818688, which contains 22 as substring.

It is a congruent number.

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, 27533 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (5022864).

Almost surely, 2^106313312 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 106313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120548736).

106313312 is an abundant number, since it is smaller than the sum of its proper divisors (134784160).

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

106313312 is a wasteful number, since it uses less digits than its factorization.

106313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 106313312 is about 10310.8346897814. The cubic root of 106313312 is about 473.7281759079.

Adding to 106313312 its reverse (213313601), we get a palindrome (319626913).

The spelling of 106313312 in words is "one hundred six million, three hundred thirteen thousand, three hundred twelve".