106561211085 has 48 divisors (see below), whose sum is σ = 211126431360. Its totient is φ = 48705909120.

The previous prime is 106561211077. The next prime is 106561211137. The reversal of 106561211085 is 580112165601.

106561211085 is a `hidden beast` number, since 1 + 0 + 6 + 561 + 2 + 1 + 10 + 85 = 666.

It is not a de Polignac number, because 106561211085 - 2³ = 106561211077 is a prime.

It is a super-2 number, since 2×106561211085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2250555 + ... + 2297415.

It is an arithmetic number, because the mean of its divisors is an integer number (4398467320).

Almost surely, 2^106561211085 is an apocalyptic number.

106561211085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106561211085 is a deficient number, since it is larger than the sum of its proper divisors (104565220275).

106561211085 is a wasteful number, since it uses less digits than its factorization.

106561211085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54098 (or 54095 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Adding to 106561211085 its reverse (580112165601), we get a palindrome (686673376686).

The spelling of 106561211085 in words is "one hundred six billion, five hundred sixty-one million, two hundred eleven thousand, eighty-five".