104891129161 has 27 divisors (see below), whose sum is σ = 132161197671. Its totient is φ = 82967464944.

The previous prime is 104891129111. The next prime is 104891129209. The reversal of 104891129161 is 161921198401.

The square root of 104891129161 is 323869.

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

It can be written as a sum of positive squares in only one way, i.e., 15516439225 + 89374689936 = 124565^2 + 298956^2 .

It is not a de Polignac number, because 104891129161 - 2¹¹ = 104891127113 is a prime.

It is a super-2 number, since 2×104891129161² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104891129111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29470300 + ... + 29473858.

It is an arithmetic number, because the mean of its divisors is an integer number (4894859173).

Almost surely, 2^104891129161 is an apocalyptic number.

104891129161 is the 323869-th square number.

104891129161 is the 161935-th centered octagonal number.

It is an amenable number.

104891129161 is a deficient number, since it is larger than the sum of its proper divisors (27270068510).

104891129161 is an frugal number, since it uses more digits than its factorization.

104891129161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 43.

The spelling of 104891129161 in words is "one hundred four billion, eight hundred ninety-one million, one hundred twenty-nine thousand, one hundred sixty-one".