106617856 has 22 divisors (see below), whose sum is σ = 213133640. Its totient is φ = 53308416.

The previous prime is 106617851. The next prime is 106617859. The reversal of 106617856 is 658716601.

It is a super-2 number, since 2×106617856² = 22734734436073472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106617851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51036 + ... + 53083.

Almost surely, 2^106617856 is an apocalyptic number.

106617856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106617856 is a deficient number, since it is larger than the sum of its proper divisors (106515784).

106617856 is an equidigital number, since it uses as much as digits as its factorization.

106617856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104139 (or 104121 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106617856 is about 10325.5922832543. The cubic root of 106617856 is about 474.1800902561.

The spelling of 106617856 in words is "one hundred six million, six hundred seventeen thousand, eight hundred fifty-six".