104955912961 has 45 divisors (see below), whose sum is σ = 119722346661. Its totient is φ = 91996828992.

The previous prime is 104955912959. The next prime is 104955912967. The reversal of 104955912961 is 169219559401.

The square root of 104955912961 is 323969.

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

It can be written as a sum of positive squares in 2 ways, for example, as 32573391361 + 72382521600 = 180481^2 + 269040^2 .

It is not a de Polignac number, because 104955912961 - 2¹ = 104955912959 is a prime.

It is a super-2 number, since 2×104955912961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104955912899 and 104955912908.

It is not an unprimeable number, because it can be changed into a prime (104955912967) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1778913750 + ... + 1778913808.

Almost surely, 2^104955912961 is an apocalyptic number.

104955912961 is the 323969-th square number.

104955912961 is the 161985-th centered octagonal number.

It is an amenable number.

104955912961 is a deficient number, since it is larger than the sum of its proper divisors (14766433700).

104955912961 is an frugal number, since it uses more digits than its factorization.

104955912961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The spelling of 104955912961 in words is "one hundred four billion, nine hundred fifty-five million, nine hundred twelve thousand, nine hundred sixty-one".