105364037 has 2 divisors, whose sum is σ = 105364038. Its totient is φ = 105364036.

The previous prime is 105364033. The next prime is 105364057. The reversal of 105364037 is 730463501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54184321 + 51179716 = 7361^2 + 7154^2 .

It is an emirp because it is prime and its reverse (730463501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105364037 - 2² = 105364033 is a prime.

It is a super-2 number, since 2×105364037² = 22203160585874738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105364031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52682018 + 52682019.

It is an arithmetic number, because the mean of its divisors is an integer number (52682019).

Almost surely, 2^105364037 is an apocalyptic number.

It is an amenable number.

105364037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105364037 is an equidigital number, since it uses as much as digits as its factorization.

105364037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 105364037 is about 10264.6985830077. The cubic root of 105364037 is about 472.3139803197.

The spelling of 105364037 in words is "one hundred five million, three hundred sixty-four thousand, thirty-seven".