106908648 has 256 divisors, whose sum is σ = 365783040. Its totient is φ = 25190400.

The previous prime is 106908643. The next prime is 106908667. The reversal of 106908648 is 846809601.

It is a super-2 number, since 2×106908648² = 22858918034375808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (106908643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288015 + ... + 1288097.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^106908648 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 106908648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

106908648 is an abundant number, since it is smaller than the sum of its proper divisors (258874392).

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

106908648 is a wasteful number, since it uses less digits than its factorization.

106908648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106908648 is about 10339.6638243223. The cubic root of 106908648 is about 474.6107954936.

The spelling of 106908648 in words is "one hundred six million, nine hundred eight thousand, six hundred forty-eight".