104918229561600 has 3645 divisors, whose sum is σ = 481026689257023. Its totient is φ = 21806196572160.

The previous prime is 104918229561581. The next prime is 104918229561601. The reversal of 104918229561600 is 6165922819401.

The square root of 104918229561600 is 10242960.

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

104918229561600 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 1 + 8 + 2 + 29 + 5 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27042828873984 + 77875400687616 = 5200272^2 + 8824704^2 .

It is a super-2 number, since 2×104918229561600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104918229561601) 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 404 ways as a sum of consecutive naturals, for example, 1565943724767 + ... + 1565943724833.

Almost surely, 2^{104918229561600} is an apocalyptic number.

104918229561600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104918229561600 is the 10242960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104918229561600

104918229561600 is an abundant number, since it is smaller than the sum of its proper divisors (376108459695423).

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

104918229561600 is an frugal number, since it uses more digits than its factorization.

104918229561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 104918229561600 in words is "one hundred four trillion, nine hundred eighteen billion, two hundred twenty-nine million, five hundred sixty-one thousand, six hundred".