106896672 has 144 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 34877952.

The previous prime is 106896661. The next prime is 106896689. The reversal of 106896672 is 276698601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106896672² = 22853796969351168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458668 + ... + 458900.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^106896672 is an apocalyptic number.

106896672 is a gapful number since it is divisible by the number (12) 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 106896672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

106896672 is an abundant number, since it is smaller than the sum of its proper divisors (215068608).

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

106896672 is an equidigital number, since it uses as much as digits as its factorization.

106896672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106896672 is about 10339.0846790226. The cubic root of 106896672 is about 474.5930727267.

The spelling of 106896672 in words is "one hundred six million, eight hundred ninety-six thousand, six hundred seventy-two".