106005111661 has 8 divisors (see below), whose sum is σ = 110508046848. Its totient is φ = 101569890000.

The previous prime is 106005111659. The next prime is 106005111673. The reversal of 106005111661 is 166111500601.

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

It is a cyclic number.

It is not a de Polignac number, because 106005111661 - 2¹ = 106005111659 is a prime.

It is a super-2 number, since 2×106005111661² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005111061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16925185 + ... + 16931446.

It is an arithmetic number, because the mean of its divisors is an integer number (13813505856).

Almost surely, 2^106005111661 is an apocalyptic number.

It is an amenable number.

106005111661 is a deficient number, since it is larger than the sum of its proper divisors (4502935187).

106005111661 is a wasteful number, since it uses less digits than its factorization.

106005111661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33856763.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 106005111661 in words is "one hundred six billion, five million, one hundred eleven thousand, six hundred sixty-one".