104633071200 has 324 divisors, whose sum is σ = 429202568340. Its totient is φ = 23916049920.

The previous prime is 104633071187. The next prime is 104633071201. The reversal of 104633071200 is 2170336401.

104633071200 is a `hidden beast` number, since 1 + 0 + 4 + 633 + 0 + 7 + 1 + 20 + 0 = 666.

It is a super-3 number, since 3×104633071200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104633071201) 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 53 ways as a sum of consecutive naturals, for example, 204511 + ... + 501089.

It is an arithmetic number, because the mean of its divisors is an integer number (1324699285).

Almost surely, 2^104633071200 is an apocalyptic number.

104633071200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104633071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214601284170).

104633071200 is an abundant number, since it is smaller than the sum of its proper divisors (324569497140).

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

104633071200 is a wasteful number, since it uses less digits than its factorization.

104633071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296619 (or 296596 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 104633071200 in words is "one hundred four billion, six hundred thirty-three million, seventy-one thousand, two hundred".