105738197 has 2 divisors, whose sum is σ = 105738198. Its totient is φ = 105738196.

The previous prime is 105738169. The next prime is 105738223. The reversal of 105738197 is 791837501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80748196 + 24990001 = 8986^2 + 4999^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738197 - 2⁸ = 105737941 is a prime.

It is a super-2 number, since 2×105738197² = 22361132609621618, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105738697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869098 + 52869099.

It is an arithmetic number, because the mean of its divisors is an integer number (52869099).

Almost surely, 2^105738197 is an apocalyptic number.

It is an amenable number.

105738197 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738197 is an equidigital number, since it uses as much as digits as its factorization.

105738197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 41.

The square root of 105738197 is about 10282.9080030894. The cubic root of 105738197 is about 472.8724005358.

The spelling of 105738197 in words is "one hundred five million, seven hundred thirty-eight thousand, one hundred ninety-seven".