106882656 has 48 divisors (see below), whose sum is σ = 292771584. Its totient is φ = 34077824.

The previous prime is 106882631. The next prime is 106882691. The reversal of 106882656 is 656288601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106882656² = 22847804307228672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21996 + ... + 26411.

It is an arithmetic number, because the mean of its divisors is an integer number (6099408).

Almost surely, 2^106882656 is an apocalyptic number.

106882656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106882656 is an abundant number, since it is smaller than the sum of its proper divisors (185888928).

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

106882656 is a wasteful number, since it uses less digits than its factorization.

106882656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48443 (or 48435 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 106882656 is about 10338.4068405146. The cubic root of 106882656 is about 474.5723293705.

The spelling of 106882656 in words is "one hundred six million, eight hundred eighty-two thousand, six hundred fifty-six".