106682560 has 28 divisors (see below), whose sum is σ = 254038608. Its totient is φ = 42672896.

The previous prime is 106682491. The next prime is 106682567. The reversal of 106682560 is 65286601.

It is a super-2 number, since 2×106682560² = 22762337216307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106682567) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 166372 + ... + 167011.

Almost surely, 2^106682560 is an apocalyptic number.

106682560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106682560 is an abundant number, since it is smaller than the sum of its proper divisors (147356048).

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

106682560 is an equidigital number, since it uses as much as digits as its factorization.

106682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333400 (or 333390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 106682560 is about 10328.7249939187. The cubic root of 106682560 is about 474.2759939668.

The spelling of 106682560 in words is "one hundred six million, six hundred eighty-two thousand, five hundred sixty".