105242301 has 16 divisors (see below), whose sum is σ = 156822720. Its totient is φ = 69752880.

The previous prime is 105242297. The next prime is 105242309. The reversal of 105242301 is 103242501.

It is not a de Polignac number, because 105242301 - 2² = 105242297 is a prime.

It is a super-2 number, since 2×105242301² = 22151883839549202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242309) 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 in 15 ways as a sum of consecutive naturals, for example, 6595 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (9801420).

Almost surely, 2^105242301 is an apocalyptic number.

It is an amenable number.

105242301 is a deficient number, since it is larger than the sum of its proper divisors (51580419).

105242301 is a wasteful number, since it uses less digits than its factorization.

105242301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713 (or 22707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105242301 is about 10258.7670311787. The cubic root of 105242301 is about 472.1320087649.

Adding to 105242301 its reverse (103242501), we get a palindrome (208484802).

The spelling of 105242301 in words is "one hundred five million, two hundred forty-two thousand, three hundred one".