1106105101661 has 16 divisors (see below), whose sum is σ = 1304962449408. Its totient is φ = 917461350000.

The previous prime is 1106105101597. The next prime is 1106105101667. The reversal of 1106105101661 is 1661015016011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1106105101661 - 2⁶ = 1106105101597 is a prime.

It is a super-2 number, since 2×1106105101661² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106105101667) 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, 4721036 + ... + 4949786.

It is an arithmetic number, because the mean of its divisors is an integer number (81560153088).

Almost surely, 2^{1106105101661} is an apocalyptic number.

It is an amenable number.

1106105101661 is a deficient number, since it is larger than the sum of its proper divisors (198857347747).

1106105101661 is a wasteful number, since it uses less digits than its factorization.

1106105101661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251072.

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 1106105101661 in words is "one trillion, one hundred six billion, one hundred five million, one hundred one thousand, six hundred sixty-one".