106005611060749 has 2 divisors, whose sum is σ = 106005611060750. Its totient is φ = 106005611060748.

The previous prime is 106005611060747. The next prime is 106005611060753. The reversal of 106005611060749 is 947060116500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62727698886724 + 43277912174025 = 7920082^2 + 6578595^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005611060749 - 2¹ = 106005611060747 is a prime.

It is a super-2 number, since 2×106005611060749² (a number of 29 digits) contains 22 as substring.

Together with 106005611060747, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106005611060699 and 106005611060708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005611060747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002805530374 + 53002805530375.

It is an arithmetic number, because the mean of its divisors is an integer number (53002805530375).

Almost surely, 2^{106005611060749} is an apocalyptic number.

It is an amenable number.

106005611060749 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005611060749 is an equidigital number, since it uses as much as digits as its factorization.

106005611060749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 106005611060749 in words is "one hundred six trillion, five billion, six hundred eleven million, sixty thousand, seven hundred forty-nine".