10106005561693 has 2 divisors, whose sum is σ = 10106005561694. Its totient is φ = 10106005561692.

The previous prime is 10106005561649. The next prime is 10106005561727. The reversal of 10106005561693 is 39616550060101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8799689146329 + 1306316415364 = 2966427^2 + 1142942^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106005561693 - 2⁹ = 10106005561181 is a prime.

It is a congruent number.

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, 5053002780846 + 5053002780847.

It is an arithmetic number, because the mean of its divisors is an integer number (5053002780847).

Almost surely, 2^{10106005561693} is an apocalyptic number.

It is an amenable number.

10106005561693 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106005561693 is an equidigital number, since it uses as much as digits as its factorization.

10106005561693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 10106005561693 in words is "ten trillion, one hundred six billion, five million, five hundred sixty-one thousand, six hundred ninety-three".