106319525719741 has 2 divisors, whose sum is σ = 106319525719742. Its totient is φ = 106319525719740.

The previous prime is 106319525719663. The next prime is 106319525719753. The reversal of 106319525719741 is 147917525913601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60641324860516 + 45678200859225 = 7787254^2 + 6758565^2 .

It is a cyclic number.

It is not a de Polignac number, because 106319525719741 - 2¹¹ = 106319525717693 is a prime.

It is a super-2 number, since 2×106319525719741² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106319525719741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106319525716741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53159762859870 + 53159762859871.

It is an arithmetic number, because the mean of its divisors is an integer number (53159762859871).

Almost surely, 2^{106319525719741} is an apocalyptic number.

It is an amenable number.

106319525719741 is a deficient number, since it is larger than the sum of its proper divisors (1).

106319525719741 is an equidigital number, since it uses as much as digits as its factorization.

106319525719741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14288400, while the sum is 61.

The spelling of 106319525719741 in words is "one hundred six trillion, three hundred nineteen billion, five hundred twenty-five million, seven hundred nineteen thousand, seven hundred forty-one".