126300105 has 24 divisors (see below), whose sum is σ = 219335688. Its totient is φ = 67232256.

The previous prime is 126300071. The next prime is 126300127. The reversal of 126300105 is 501003621.

It can be written as a sum of positive squares in 4 ways, for example, as 5212089 + 121088016 = 2283^2 + 11004^2 .

It is not a de Polignac number, because 126300105 - 2¹⁶ = 126234569 is a prime.

It is a super-2 number, since 2×126300105² = 31903433046022050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24319 + ... + 29051.

It is an arithmetic number, because the mean of its divisors is an integer number (9138987).

Almost surely, 2^126300105 is an apocalyptic number.

126300105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126300105 is a deficient number, since it is larger than the sum of its proper divisors (93035583).

126300105 is a wasteful number, since it uses less digits than its factorization.

126300105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 126300105 is about 11238.3319491818. The cubic root of 126300105 is about 501.7274979612.

Adding to 126300105 its reverse (501003621), we get a palindrome (627303726).

The spelling of 126300105 in words is "one hundred twenty-six million, three hundred thousand, one hundred five".