106505 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 68352.

The previous prime is 106501. The next prime is 106531. The reversal of 106505 is 505601.

106505 = 71² + 72² + ... + 87².

It is a cyclic number.

It is not a de Polignac number, because 106505 - 2² = 106501 is a prime.

It is a super-2 number, since 2×106505² = 22686630050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106505.

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹⁰⁶⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

106505 is a deficient number, since it is larger than the sum of its proper divisors (49015).

106505 is a wasteful number, since it uses less digits than its factorization.

106505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 106505 is about 326.3510379944. The cubic root of 106505 is about 47.4012723166.

The spelling of 106505 in words is "one hundred six thousand, five hundred five".