105655301 has 2 divisors, whose sum is σ = 105655302. Its totient is φ = 105655300.

The previous prime is 105655283. The next prime is 105655337. The reversal of 105655301 is 103556501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86304100 + 19351201 = 9290^2 + 4399^2 .

It is an emirp because it is prime and its reverse (103556501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105655301 is a prime.

It is a super-2 number, since 2×105655301² = 22326085258801202, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105655001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827650 + 52827651.

It is an arithmetic number, because the mean of its divisors is an integer number (52827651).

Almost surely, 2^105655301 is an apocalyptic number.

It is an amenable number.

105655301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655301 is an equidigital number, since it uses as much as digits as its factorization.

105655301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 105655301 is about 10278.8764463826. The cubic root of 105655301 is about 472.7487950025.

The spelling of 105655301 in words is "one hundred five million, six hundred fifty-five thousand, three hundred one".