106105566661095 has 16 divisors (see below), whose sum is σ = 169771469985792. Its totient is φ = 56588781109920.

The previous prime is 106105566661093. The next prime is 106105566661141. The reversal of 106105566661095 is 590166665501601.

It is not a de Polignac number, because 106105566661095 - 2¹ = 106105566661093 is a prime.

It is a super-2 number, since 2×106105566661095² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105566661093) 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, 52375467 + ... + 54363596.

It is an arithmetic number, because the mean of its divisors is an integer number (10610716874112).

Almost surely, 2^{106105566661095} is an apocalyptic number.

106105566661095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106105566661095 is a deficient number, since it is larger than the sum of its proper divisors (63665903324697).

106105566661095 is a wasteful number, since it uses less digits than its factorization.

106105566661095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106805342.

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 106105566661095 in words is "one hundred six trillion, one hundred five billion, five hundred sixty-six million, six hundred sixty-one thousand, ninety-five".