105626430126 has 96 divisors (see below), whose sum is σ = 271176984000. Its totient is φ = 29072977920.

The previous prime is 105626430059. The next prime is 105626430251. The reversal of 105626430126 is 621034626501.

105626430126 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 643 + 0 + 1 + 2 + 6 = 666.

105626430126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105626430126² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608456 + ... + 1672836.

It is an arithmetic number, because the mean of its divisors is an integer number (2824760250).

Almost surely, 2^105626430126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105626430126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135588492000).

105626430126 is an abundant number, since it is smaller than the sum of its proper divisors (165550553874).

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

105626430126 is a wasteful number, since it uses less digits than its factorization.

105626430126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64874 (or 64871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 105626430126 in words is "one hundred five billion, six hundred twenty-six million, four hundred thirty thousand, one hundred twenty-six".