106335165705583 has 2 divisors, whose sum is σ = 106335165705584. Its totient is φ = 106335165705582.

The previous prime is 106335165705533. The next prime is 106335165705679. The reversal of 106335165705583 is 385507561533601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106335165705583 - 2¹³ = 106335165697391 is a prime.

It is a super-2 number, since 2×106335165705583² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106335165705533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53167582852791 + 53167582852792.

It is an arithmetic number, because the mean of its divisors is an integer number (53167582852792).

Almost surely, 2^{106335165705583} is an apocalyptic number.

106335165705583 is a deficient number, since it is larger than the sum of its proper divisors (1).

106335165705583 is an equidigital number, since it uses as much as digits as its factorization.

106335165705583 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020000, while the sum is 58.

The spelling of 106335165705583 in words is "one hundred six trillion, three hundred thirty-five billion, one hundred sixty-five million, seven hundred five thousand, five hundred eighty-three".