106661716101 has 24 divisors (see below), whose sum is σ = 154327324320. Its totient is φ = 70987725216.

The previous prime is 106661716099. The next prime is 106661716121. The reversal of 106661716101 is 101617166601.

It is not a de Polignac number, because 106661716101 - 2¹ = 106661716099 is a prime.

It is a super-2 number, since 2×106661716101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661716121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25279170 + ... + 25283388.

It is an arithmetic number, because the mean of its divisors is an integer number (6430305180).

Almost surely, 2^106661716101 is an apocalyptic number.

It is an amenable number.

106661716101 is a deficient number, since it is larger than the sum of its proper divisors (47665608219).

106661716101 is a wasteful number, since it uses less digits than its factorization.

106661716101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 106661716101 in words is "one hundred six billion, six hundred sixty-one million, seven hundred sixteen thousand, one hundred one".