106827648 has 128 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 33546240.

The previous prime is 106827631. The next prime is 106827649. The reversal of 106827648 is 846728601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106827648² = 22824292754423808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106827649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590118 + ... + 590298.

Almost surely, 2^106827648 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 106827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

106827648 is an abundant number, since it is smaller than the sum of its proper divisors (193909152).

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

106827648 is a wasteful number, since it uses less digits than its factorization.

106827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 106827648 is about 10335.7461269131. The cubic root of 106827648 is about 474.4909012717.

The spelling of 106827648 in words is "one hundred six million, eight hundred twenty-seven thousand, six hundred forty-eight".