106105111762613 has 2 divisors, whose sum is σ = 106105111762614. Its totient is φ = 106105111762612.

The previous prime is 106105111762589. The next prime is 106105111762703. The reversal of 106105111762613 is 316267111501601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92103311120209 + 14001800642404 = 9597047^2 + 3741898^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105111762613 - 2²⁴ = 106105094985397 is a prime.

It is a super-2 number, since 2×106105111762613² (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 (106105111762213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052555881306 + 53052555881307.

It is an arithmetic number, because the mean of its divisors is an integer number (53052555881307).

Almost surely, 2^{106105111762613} is an apocalyptic number.

It is an amenable number.

106105111762613 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105111762613 is an equidigital number, since it uses as much as digits as its factorization.

106105111762613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The spelling of 106105111762613 in words is "one hundred six trillion, one hundred five billion, one hundred eleven million, seven hundred sixty-two thousand, six hundred thirteen".