106016506617 has 32 divisors (see below), whose sum is σ = 161964589824. Its totient is φ = 60425164800.

The previous prime is 106016506577. The next prime is 106016506643. The reversal of 106016506617 is 716605610601.

It is not a de Polignac number, because 106016506617 - 2⁸ = 106016506361 is a prime.

It is a super-2 number, since 2×106016506617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016506657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28674513 + ... + 28678209.

It is an arithmetic number, because the mean of its divisors is an integer number (5061393432).

Almost surely, 2^106016506617 is an apocalyptic number.

It is an amenable number.

106016506617 is a deficient number, since it is larger than the sum of its proper divisors (55948083207).

106016506617 is a wasteful number, since it uses less digits than its factorization.

106016506617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 106016506617 in words is "one hundred six billion, sixteen million, five hundred six thousand, six hundred seventeen".