106822656 has 132 divisors (see below), whose sum is σ = 314861352. Its totient is φ = 34873344.

The previous prime is 106822633. The next prime is 106822669. The reversal of 106822656 is 656228601.

It is a super-2 number, since 2×106822656² = 22822159669788672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106822656.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 617386 + ... + 617558.

Almost surely, 2^106822656 is an apocalyptic number.

106822656 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 106822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157430676).

106822656 is an abundant number, since it is smaller than the sum of its proper divisors (208038696).

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

106822656 is a wasteful number, since it uses less digits than its factorization.

106822656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106822656 is about 10335.5046320922. The cubic root of 106822656 is about 474.4835102529.

The spelling of 106822656 in words is "one hundred six million, eight hundred twenty-two thousand, six hundred fifty-six".