106561107 has 12 divisors (see below), whose sum is σ = 154055304. Its totient is φ = 70979040.

The previous prime is 106561097. The next prime is 106561129. The reversal of 106561107 is 701165601.

106561107 is a `hidden beast` number, since 1 + 0 + 656 + 1 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 106561107 - 2¹⁸ = 106298963 is a prime.

It is a super-2 number, since 2×106561107² = 22710539050130898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106561157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7408 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (12837942).

Almost surely, 2^106561107 is an apocalyptic number.

106561107 is a deficient number, since it is larger than the sum of its proper divisors (47494197).

106561107 is a wasteful number, since it uses less digits than its factorization.

106561107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106561107 is about 10322.8439395353. The cubic root of 106561107 is about 474.0959454338.

The spelling of 106561107 in words is "one hundred six million, five hundred sixty-one thousand, one hundred seven".