10106005561661 has 4 divisors (see below), whose sum is σ = 10148290104000. Its totient is φ = 10063721019324.

The previous prime is 10106005561649. The next prime is 10106005561693. The reversal of 10106005561661 is 16616550060101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10106005561661 - 2¹⁴ = 10106005545277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106004561661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21142270811 + ... + 21142271288.

It is an arithmetic number, because the mean of its divisors is an integer number (2537072526000).

Almost surely, 2^{10106005561661} is an apocalyptic number.

It is an amenable number.

10106005561661 is a deficient number, since it is larger than the sum of its proper divisors (42284542339).

10106005561661 is an equidigital number, since it uses as much as digits as its factorization.

10106005561661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42284542338.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 10106005561661 in words is "ten trillion, one hundred six billion, five million, five hundred sixty-one thousand, six hundred sixty-one".