106579312 has 60 divisors (see below), whose sum is σ = 243916680. Its totient is φ = 44972928.

The previous prime is 106579301. The next prime is 106579357. The reversal of 106579312 is 213975601.

It is a super-2 number, since 2×106579312² = 22718299492786688, 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 11 ways as a sum of consecutive naturals, for example, 51514 + ... + 53542.

It is an arithmetic number, because the mean of its divisors is an integer number (4065278).

Almost surely, 2^106579312 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 106579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121958340).

106579312 is an abundant number, since it is smaller than the sum of its proper divisors (137337368).

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

106579312 is a wasteful number, since it uses less digits than its factorization.

106579312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 106579312 is about 10323.7256840736. The cubic root of 106579312 is about 474.1229422293.

The spelling of 106579312 in words is "one hundred six million, five hundred seventy-nine thousand, three hundred twelve".