106561005 has 16 divisors (see below), whose sum is σ = 173715840. Its totient is φ = 55759808.

The previous prime is 106561003. The next prime is 106561031. The reversal of 106561005 is 500165601.

It is a cyclic number.

It is not a de Polignac number, because 106561005 - 2¹ = 106561003 is a prime.

It is a super-2 number, since 2×106561005² = 22710495573220050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66225 + ... + 67814.

It is an arithmetic number, because the mean of its divisors is an integer number (10857240).

Almost surely, 2^106561005 is an apocalyptic number.

106561005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106561005 is a deficient number, since it is larger than the sum of its proper divisors (67154835).

106561005 is a wasteful number, since it uses less digits than its factorization.

106561005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134100.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106561005 is about 10322.8389990351. The cubic root of 106561005 is about 474.0957941660.

The spelling of 106561005 in words is "one hundred six million, five hundred sixty-one thousand, five".