106659648 has 168 divisors, whose sum is σ = 326184768. Its totient is φ = 33251328.

The previous prime is 106659629. The next prime is 106659667. The reversal of 106659648 is 846956601.

106659648 is a `hidden beast` number, since 10 + 6 + 6 + 596 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (106659629) and next prime (106659667).

It is a super-2 number, since 2×106659648² = 22752561022967808, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099536 + ... + 1099632.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 2^106659648 is an apocalyptic number.

106659648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163092384).

106659648 is an abundant number, since it is smaller than the sum of its proper divisors (219525120).

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

106659648 is a wasteful number, since it uses less digits than its factorization.

106659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106659648 is about 10327.6157945578. The cubic root of 106659648 is about 474.2420384337.

The spelling of 106659648 in words is "one hundred six million, six hundred fifty-nine thousand, six hundred forty-eight".