106791301 has 2 divisors, whose sum is σ = 106791302. Its totient is φ = 106791300.

The previous prime is 106791299. The next prime is 106791319. The reversal of 106791301 is 103197601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87422500 + 19368801 = 9350^2 + 4401^2 .

It is a cyclic number.

It is not a de Polignac number, because 106791301 - 2¹ = 106791299 is a prime.

It is a super-3 number, since 3×106791301³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106791299, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106791301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106791401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53395650 + 53395651.

It is an arithmetic number, because the mean of its divisors is an integer number (53395651).

Almost surely, 2^106791301 is an apocalyptic number.

It is an amenable number.

106791301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106791301 is an equidigital number, since it uses as much as digits as its factorization.

106791301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 106791301 is about 10333.9876620790. The cubic root of 106791301 is about 474.4370816303.

It can be divided in two parts, 10679130 and 1, that added together give a triangular number (10679131 = T₄₆₂₁).

The spelling of 106791301 in words is "one hundred six million, seven hundred ninety-one thousand, three hundred one".