105322537 has 2 divisors, whose sum is σ = 105322538. Its totient is φ = 105322536.

The previous prime is 105322513. The next prime is 105322579. The reversal of 105322537 is 735223501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 1771561 = 10176^2 + 1331^2 .

It is a cyclic number.

It is not a de Polignac number, because 105322537 - 2⁷ = 105322409 is a prime.

It is a super-2 number, since 2×105322537² = 22185673600232738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105322507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52661268 + 52661269.

It is an arithmetic number, because the mean of its divisors is an integer number (52661269).

Almost surely, 2^105322537 is an apocalyptic number.

It is an amenable number.

105322537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105322537 is an equidigital number, since it uses as much as digits as its factorization.

105322537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105322537 is about 10262.6768925071. The cubic root of 105322537 is about 472.2519616754.

The spelling of 105322537 in words is "one hundred five million, three hundred twenty-two thousand, five hundred thirty-seven".