105506126 has 32 divisors (see below), whose sum is σ = 182908800. Its totient is φ = 45139680.

The previous prime is 105506123. The next prime is 105506239. The reversal of 105506126 is 621605501.

It is a super-3 number, since 3×105506126³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105506095 and 105506104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71585 + ... + 73043.

It is an arithmetic number, because the mean of its divisors is an integer number (5715900).

Almost surely, 2^105506126 is an apocalyptic number.

105506126 is a deficient number, since it is larger than the sum of its proper divisors (77402674).

105506126 is a wasteful number, since it uses less digits than its factorization.

105506126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105506126 is about 10271.6174967724. The cubic root of 105506126 is about 472.5261984484.

The spelling of 105506126 in words is "one hundred five million, five hundred six thousand, one hundred twenty-six".