106966608 has 160 divisors (see below), whose sum is σ = 330336000. Its totient is φ = 29804544.

The previous prime is 106966603. The next prime is 106966687. The reversal of 106966608 is 806669601.

It is a super-2 number, since 2×106966608² = 22883710454051328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 106966608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106966603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201828 + ... + 1201916.

It is an arithmetic number, because the mean of its divisors is an integer number (2064600).

Almost surely, 2^106966608 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 106966608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165168000).

106966608 is an abundant number, since it is smaller than the sum of its proper divisors (223369392).

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

106966608 is an equidigital number, since it uses as much as digits as its factorization.

106966608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 106966608 is about 10342.4662435997. The cubic root of 106966608 is about 474.6965493047.

The spelling of 106966608 in words is "one hundred six million, nine hundred sixty-six thousand, six hundred eight".