106505505 has 12 divisors (see below), whose sum is σ = 184609620. Its totient is φ = 56802912.

The previous prime is 106505471. The next prime is 106505513. The reversal of 106505505 is 505505601.

106505505 is a `hidden beast` number, since 1 + 0 + 650 + 5 + 5 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60699681 + 45805824 = 7791^2 + 6768^2 .

It is not a de Polignac number, because 106505505 - 2¹⁶ = 106439969 is a prime.

It is a super-2 number, since 2×106505505² = 22686845190610050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183350 + ... + 1183439.

It is an arithmetic number, because the mean of its divisors is an integer number (15384135).

Almost surely, 2^106505505 is an apocalyptic number.

106505505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106505505 is a deficient number, since it is larger than the sum of its proper divisors (78104115).

106505505 is a wasteful number, since it uses less digits than its factorization.

106505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366800 (or 2366797 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 106505505 is about 10320.1504349501. The cubic root of 106505505 is about 474.0134723511.

The spelling of 106505505 in words is "one hundred six million, five hundred five thousand, five hundred five".