106621312 has 64 divisors (see below), whose sum is σ = 255571200. Its totient is φ = 43282944.

The previous prime is 106621303. The next prime is 106621337. The reversal of 106621312 is 213126601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106621312² = 22736208345202688, 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, 13893 + ... + 20155.

It is an arithmetic number, because the mean of its divisors is an integer number (3993300).

Almost surely, 2^106621312 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 106621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

106621312 is an abundant number, since it is smaller than the sum of its proper divisors (148949888).

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

106621312 is an equidigital number, since it uses as much as digits as its factorization.

106621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106621312 is about 10325.7596330730. The cubic root of 106621312 is about 474.1852136902.

Adding to 106621312 its reverse (213126601), we get a palindrome (319747913).

The spelling of 106621312 in words is "one hundred six million, six hundred twenty-one thousand, three hundred twelve".