106605648 has 60 divisors (see below), whose sum is σ = 302578848. Its totient is φ = 35031360.

The previous prime is 106605641. The next prime is 106605649. The reversal of 106605648 is 846506601.

106605648 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 5 + 648 = 666.

It is a super-2 number, since 2×106605648² = 22729528370999808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5011 + ... + 15437.

Almost surely, 2^106605648 is an apocalyptic number.

106605648 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 106605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151289424).

106605648 is an abundant number, since it is smaller than the sum of its proper divisors (195973200).

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

106605648 is a wasteful number, since it uses less digits than its factorization.

106605648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106605648 is about 10325.0011138014. The cubic root of 106605648 is about 474.1619913131.

The spelling of 106605648 in words is "one hundred six million, six hundred five thousand, six hundred forty-eight".