106016121665 has 8 divisors (see below), whose sum is σ = 130322257128. Its totient is φ = 82744289920.

The previous prime is 106016121641. The next prime is 106016121677. The reversal of 106016121665 is 566121610601.

It can be written as a sum of positive squares in 4 ways, for example, as 41783296 + 105974338369 = 6464^2 + 325537^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106016121665 - 2²² = 106011927361 is a prime.

It is a super-2 number, since 2×106016121665² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 258575702 + ... + 258576111.

It is an arithmetic number, because the mean of its divisors is an integer number (16290282141).

Almost surely, 2^106016121665 is an apocalyptic number.

It is an amenable number.

106016121665 is a deficient number, since it is larger than the sum of its proper divisors (24306135463).

106016121665 is an equidigital number, since it uses as much as digits as its factorization.

106016121665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517151859.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 106016121665 in words is "one hundred six billion, sixteen million, one hundred twenty-one thousand, six hundred sixty-five".