106710585105 has 16 divisors (see below), whose sum is σ = 170808641280. Its totient is φ = 56888410368.

The previous prime is 106710585103. The next prime is 106710585139. The reversal of 106710585105 is 501585017601.

It is not a de Polignac number, because 106710585105 - 2¹ = 106710585103 is a prime.

It is a super-2 number, since 2×106710585105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106710585103) 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 15 ways as a sum of consecutive naturals, for example, 1456920 + ... + 1528409.

It is an arithmetic number, because the mean of its divisors is an integer number (10675540080).

Almost surely, 2^106710585105 is an apocalyptic number.

106710585105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106710585105 is a deficient number, since it is larger than the sum of its proper divisors (64098056175).

106710585105 is a wasteful number, since it uses less digits than its factorization.

106710585105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987720.

The product of its (nonzero) digits is 42000, while the sum is 39.

The spelling of 106710585105 in words is "one hundred six billion, seven hundred ten million, five hundred eighty-five thousand, one hundred five".