106966656 has 192 divisors, whose sum is σ = 337864800. Its totient is φ = 33592320.

The previous prime is 106966603. The next prime is 106966687. The reversal of 106966656 is 656669601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106966656² = 22883730991644672, which contains 22 as substring.

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, 590886 + ... + 591066.

Almost surely, 2^106966656 is an apocalyptic number.

106966656 is a gapful number since it is divisible by the number (16) 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 106966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168932400).

106966656 is an abundant number, since it is smaller than the sum of its proper divisors (230898144).

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

106966656 is an equidigital number, since it uses as much as digits as its factorization.

106966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 106966656 is about 10342.4685641292. The cubic root of 106966656 is about 474.6966203095.

The spelling of 106966656 in words is "one hundred six million, nine hundred sixty-six thousand, six hundred fifty-six".