106656561 has 32 divisors (see below), whose sum is σ = 172986240. Its totient is φ = 64411200.

The previous prime is 106656547. The next prime is 106656569. The reversal of 106656561 is 165656601.

It is not a de Polignac number, because 106656561 - 2⁹ = 106656049 is a prime.

It is a super-2 number, since 2×106656561² = 22751244008693442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106656569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124611 + ... + 125463.

It is an arithmetic number, because the mean of its divisors is an integer number (5405820).

Almost surely, 2^106656561 is an apocalyptic number.

106656561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106656561 is a deficient number, since it is larger than the sum of its proper divisors (66329679).

106656561 is a wasteful number, since it uses less digits than its factorization.

106656561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106656561 is about 10327.4663398144. The cubic root of 106656561 is about 474.2374631348.

The spelling of 106656561 in words is "one hundred six million, six hundred fifty-six thousand, five hundred sixty-one".