106005606105 has 16 divisors (see below), whose sum is σ = 193838822784. Its totient is φ = 48459705600.

The previous prime is 106005606103. The next prime is 106005606107. The reversal of 106005606105 is 501606500601.

It is an interprime number because it is at equal distance from previous prime (106005606103) and next prime (106005606107).

It is not a de Polignac number, because 106005606105 - 2¹ = 106005606103 is a prime.

It is a super-2 number, since 2×106005606105² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106005606103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504788496 + ... + 504788705.

It is an arithmetic number, because the mean of its divisors is an integer number (12114926424).

Almost surely, 2^106005606105 is an apocalyptic number.

106005606105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005606105 is a deficient number, since it is larger than the sum of its proper divisors (87833216679).

106005606105 is a wasteful number, since it uses less digits than its factorization.

106005606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009577216.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106005606105 in words is "one hundred six billion, five million, six hundred six thousand, one hundred five".