105366137 has 2 divisors, whose sum is σ = 105366138. Its totient is φ = 105366136.

The previous prime is 105366133. The next prime is 105366161. The reversal of 105366137 is 731663501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 2627641 = 10136^2 + 1621^2 .

It is an emirp because it is prime and its reverse (731663501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105366137 - 2² = 105366133 is a prime.

It is a super-2 number, since 2×105366137² = 22204045652605538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105366133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52683068 + 52683069.

It is an arithmetic number, because the mean of its divisors is an integer number (52683069).

Almost surely, 2^105366137 is an apocalyptic number.

It is an amenable number.

105366137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105366137 is an equidigital number, since it uses as much as digits as its factorization.

105366137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 105366137 is about 10264.8008748343. The cubic root of 105366137 is about 472.3171181796.

The spelling of 105366137 in words is "one hundred five million, three hundred sixty-six thousand, one hundred thirty-seven".