105437797 has 2 divisors, whose sum is σ = 105437798. Its totient is φ = 105437796.

The previous prime is 105437767. The next prime is 105437807. The reversal of 105437797 is 797734501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66487716 + 38950081 = 8154^2 + 6241^2 .

It is a cyclic number.

It is not a de Polignac number, because 105437797 - 2¹⁵ = 105405029 is a prime.

It is a super-2 number, since 2×105437797² = 22234258072426418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105437747) 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, 52718898 + 52718899.

It is an arithmetic number, because the mean of its divisors is an integer number (52718899).

Almost surely, 2^105437797 is an apocalyptic number.

It is an amenable number.

105437797 is a deficient number, since it is larger than the sum of its proper divisors (1).

105437797 is an equidigital number, since it uses as much as digits as its factorization.

105437797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 105437797 is about 10268.2908509644. The cubic root of 105437797 is about 472.4241689379.

The spelling of 105437797 in words is "one hundred five million, four hundred thirty-seven thousand, seven hundred ninety-seven".