10106005561649 has 2 divisors, whose sum is σ = 10106005561650. Its totient is φ = 10106005561648.

The previous prime is 10106005561643. The next prime is 10106005561693. The reversal of 10106005561649 is 94616550060101.

10106005561649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10106005561693) can be obtained adding 10106005561649 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5408382801649 + 4697622760000 = 2325593^2 + 2167400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106005561649 is a prime.

It is not a weakly prime, because it can be changed into another prime (10106005561643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053002780824 + 5053002780825.

It is an arithmetic number, because the mean of its divisors is an integer number (5053002780825).

Almost surely, 2^{10106005561649} is an apocalyptic number.

It is an amenable number.

10106005561649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106005561649 is an equidigital number, since it uses as much as digits as its factorization.

10106005561649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 10106005561649 in words is "ten trillion, one hundred six billion, five million, five hundred sixty-one thousand, six hundred forty-nine".