104998008033 has 12 divisors (see below), whose sum is σ = 151668160020. Its totient is φ = 69996654816.

The previous prime is 104998007999. The next prime is 104998008053. The reversal of 104998008033 is 330800899401.

104998008033 is a `hidden beast` number, since 1 + 0 + 499 + 80 + 0 + 80 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85624708689 + 19373299344 = 292617^2 + 139188^2 .

It is not a de Polignac number, because 104998008033 - 2⁶ = 104998007969 is a prime.

It is a super-2 number, since 2×104998008033² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104998008033.

It is not an unprimeable number, because it can be changed into a prime (104998008053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205183 + ... + 502091.

It is an arithmetic number, because the mean of its divisors is an integer number (12639013335).

Almost surely, 2^104998008033 is an apocalyptic number.

It is an amenable number.

104998008033 is a deficient number, since it is larger than the sum of its proper divisors (46670151987).

104998008033 is a wasteful number, since it uses less digits than its factorization.

104998008033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336208 (or 336205 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 104998008033 in words is "one hundred four billion, nine hundred ninety-eight million, eight thousand, thirty-three".