105300126 has 24 divisors (see below), whose sum is σ = 228346560. Its totient is φ = 35069856.

The previous prime is 105300121. The next prime is 105300137. The reversal of 105300126 is 621003501.

105300126 is a `hidden beast` number, since 10 + 530 + 0 + 126 = 666.

It is a super-2 number, since 2×105300126² = 22176233071231752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105300099 and 105300108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31210 + ... + 34418.

It is an arithmetic number, because the mean of its divisors is an integer number (9514440).

Almost surely, 2^105300126 is an apocalyptic number.

105300126 is an abundant number, since it is smaller than the sum of its proper divisors (123046434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105300126 is a wasteful number, since it uses less digits than its factorization.

105300126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5037 counting only the distinct ones).

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

The square root of 105300126 is about 10261.5849652965. The cubic root of 105300126 is about 472.2184633385.

Adding to 105300126 its reverse (621003501), we get a palindrome (726303627).

The spelling of 105300126 in words is "one hundred five million, three hundred thousand, one hundred twenty-six".