105120126 has 16 divisors (see below), whose sum is σ = 233600400. Its totient is φ = 35040024.

The previous prime is 105120121. The next prime is 105120131. The reversal of 105120126 is 621021501.

It is an interprime number because it is at equal distance from previous prime (105120121) and next prime (105120131).

It is a super-2 number, since 2×105120126² = 22100481780511752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105120099 and 105120108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973281 + ... + 973388.

It is an arithmetic number, because the mean of its divisors is an integer number (14600025).

Almost surely, 2^105120126 is an apocalyptic number.

105120126 is an abundant number, since it is smaller than the sum of its proper divisors (128480274).

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

105120126 is a wasteful number, since it uses less digits than its factorization.

105120126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946680 (or 1946674 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105120126 is about 10252.8106390394. The cubic root of 105120126 is about 471.9492398492.

Adding to 105120126 its reverse (621021501), we get a palindrome (726141627).

The spelling of 105120126 in words is "one hundred five million, one hundred twenty thousand, one hundred twenty-six".