106377301 has 2 divisors, whose sum is σ = 106377302. Its totient is φ = 106377300.

The previous prime is 106377287. The next prime is 106377317. The reversal of 106377301 is 103773601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 904401 = 10270^2 + 951^2 .

It is an emirp because it is prime and its reverse (103773601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106377301 - 2⁹ = 106376789 is a prime.

It is a super-2 number, since 2×106377301² = 22632260336089202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106377301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106371301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53188650 + 53188651.

It is an arithmetic number, because the mean of its divisors is an integer number (53188651).

Almost surely, 2^106377301 is an apocalyptic number.

It is an amenable number.

106377301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106377301 is an equidigital number, since it uses as much as digits as its factorization.

106377301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 106377301 is about 10313.9372210616. The cubic root of 106377301 is about 473.8232010493.

The spelling of 106377301 in words is "one hundred six million, three hundred seventy-seven thousand, three hundred one".