105232537 has 2 divisors, whose sum is σ = 105232538. Its totient is φ = 105232536.

The previous prime is 105232511. The next prime is 105232541. The reversal of 105232537 is 735232501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70375321 + 34857216 = 8389^2 + 5904^2 .

It is a cyclic number.

It is not a de Polignac number, because 105232537 - 2¹⁹ = 104708249 is a prime.

It is a super-2 number, since 2×105232537² = 22147773686912738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105232597) 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, 52616268 + 52616269.

It is an arithmetic number, because the mean of its divisors is an integer number (52616269).

Almost surely, 2^105232537 is an apocalyptic number.

It is an amenable number.

105232537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105232537 is an equidigital number, since it uses as much as digits as its factorization.

105232537 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 105232537 is about 10258.2911344921. The cubic root of 105232537 is about 472.1174074134.

The spelling of 105232537 in words is "one hundred five million, two hundred thirty-two thousand, five hundred thirty-seven".