106217520310617 has 16 divisors (see below), whose sum is σ = 142385303522880. Its totient is φ = 70430853722112.

The previous prime is 106217520310607. The next prime is 106217520310633. The reversal of 106217520310617 is 716013025712601.

It is not a de Polignac number, because 106217520310617 - 2⁸ = 106217520310361 is a prime.

It is a super-2 number, since 2×106217520310617² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106217520310607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15201888 + ... + 21060209.

It is an arithmetic number, because the mean of its divisors is an integer number (8899081470180).

Almost surely, 2^{106217520310617} is an apocalyptic number.

It is an amenable number.

106217520310617 is a deficient number, since it is larger than the sum of its proper divisors (36167783212263).

106217520310617 is a wasteful number, since it uses less digits than its factorization.

106217520310617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36267352.

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 106217520310617 in words is "one hundred six trillion, two hundred seventeen billion, five hundred twenty million, three hundred ten thousand, six hundred seventeen".