106108968 has 128 divisors (see below), whose sum is σ = 327525120. Its totient is φ = 27955200.

The previous prime is 106108957. The next prime is 106108973. The reversal of 106108968 is 869801601.

It is a super-2 number, since 2×106108968² = 22518226180050048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151018 + ... + 151718.

It is an arithmetic number, because the mean of its divisors is an integer number (2558790).

Almost surely, 2^106108968 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 106108968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163762560).

106108968 is an abundant number, since it is smaller than the sum of its proper divisors (221416152).

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

106108968 is a wasteful number, since it uses less digits than its factorization.

106108968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 106108968 is about 10300.9207355459. The cubic root of 106108968 is about 473.4244648090.

The spelling of 106108968 in words is "one hundred six million, one hundred eight thousand, nine hundred sixty-eight".