106306644 has 96 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 31477248.

The previous prime is 106306639. The next prime is 106306679. The reversal of 106306644 is 446603601.

It is a super-2 number, since 2×106306644² = 22602205117085472, 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 31 ways as a sum of consecutive naturals, for example, 652107 + ... + 652269.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 2^106306644 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 106306644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

106306644 is an abundant number, since it is smaller than the sum of its proper divisors (171417516).

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

106306644 is a wasteful number, since it uses less digits than its factorization.

106306644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 106306644 is about 10310.5113355255. The cubic root of 106306644 is about 473.7182715806.

The spelling of 106306644 in words is "one hundred six million, three hundred six thousand, six hundred forty-four".