106761112541 has 2 divisors, whose sum is σ = 106761112542. Its totient is φ = 106761112540.

The previous prime is 106761112519. The next prime is 106761112543. The reversal of 106761112541 is 145211167601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84841125625 + 21919986916 = 291275^2 + 148054^2 .

It is a cyclic number.

It is not a de Polignac number, because 106761112541 - 2¹⁸ = 106760850397 is a prime.

It is a super-2 number, since 2×106761112541² (a number of 23 digits) contains 22 as substring.

Together with 106761112543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106761112543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53380556270 + 53380556271.

It is an arithmetic number, because the mean of its divisors is an integer number (53380556271).

Almost surely, 2^106761112541 is an apocalyptic number.

It is an amenable number.

106761112541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106761112541 is an equidigital number, since it uses as much as digits as its factorization.

106761112541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 106761112541 in words is "one hundred six billion, seven hundred sixty-one million, one hundred twelve thousand, five hundred forty-one".