106667648 has 32 divisors (see below), whose sum is σ = 213774660. Its totient is φ = 53014528.

The previous prime is 106667623. The next prime is 106667651. The reversal of 106667648 is 846766601.

It can be written as a sum of positive squares in 2 ways, for example, as 106667584 + 64 = 10328^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106667648² = 22755974259703808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106667599 and 106667608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19736 + ... + 24552.

Almost surely, 2^106667648 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 106667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106887330).

106667648 is an abundant number, since it is smaller than the sum of its proper divisors (107107012).

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

106667648 is an equidigital number, since it uses as much as digits as its factorization.

106667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 106667648 is about 10328.0030983729. The cubic root of 106667648 is about 474.2538949684.

The spelling of 106667648 in words is "one hundred six million, six hundred sixty-seven thousand, six hundred forty-eight".