105941136196 has 81 divisors (see below), whose sum is σ = 219565569951. Its totient is φ = 44596789776.

The previous prime is 105941136167. The next prime is 105941136229. The reversal of 105941136196 is 691631149501.

The square root of 105941136196 is 325486.

It is a perfect power (a square), and thus also a powerful number.

105941136196 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 2×105941136196² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305305695 + ... + 305306041.

Almost surely, 2^105941136196 is an apocalyptic number.

105941136196 is the 325486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105941136196

105941136196 is an abundant number, since it is smaller than the sum of its proper divisors (113624433755).

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

105941136196 is an frugal number, since it uses more digits than its factorization.

105941136196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 105941136196 in words is "one hundred five billion, nine hundred forty-one million, one hundred thirty-six thousand, one hundred ninety-six".