105466130605506 has 128 divisors (see below), whose sum is σ = 250089716305152. Its totient is φ = 29293424640000.

The previous prime is 105466130605463. The next prime is 105466130605531. The reversal of 105466130605506 is 605506031664501.

It is a super-2 number, since 2×105466130605506² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715855 + ... + 14541138.

It is an arithmetic number, because the mean of its divisors is an integer number (1953825908634).

Almost surely, 2^{105466130605506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105466130605506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125044858152576).

105466130605506 is an abundant number, since it is smaller than the sum of its proper divisors (144623585699646).

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

105466130605506 is a wasteful number, since it uses less digits than its factorization.

105466130605506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15257188.

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 105466130605506 in words is "one hundred five trillion, four hundred sixty-six billion, one hundred thirty million, six hundred five thousand, five hundred six".