| Base | Representation |
|---|---|
| bin | 110000101111100000… |
| … | …0000001011010010000 |
| 3 | 101000011211211012111200 |
| 4 | 1201133000001122100 |
| 5 | 3203332300301100 |
| 6 | 120030334511200 |
| 7 | 10363616204433 |
| oct | 1413700013220 |
| 9 | 330154735450 |
| 10 | 104673056400 |
| 11 | 40434236590 |
| 12 | 18352965500 |
| 13 | 9b419c8783 |
| 14 | 50cd93781a |
| 15 | 2ac960de00 |
| hex | 185f001690 |
104673056400 has 720 divisors, whose sum is σ = 409306659840. Its totient is φ = 24554880000.
The previous prime is 104673056357. The next prime is 104673056407. The reversal of 104673056400 is 4650376401.
It is a happy number.
104673056400 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 3 + 0 + 5 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×1046730564002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (104673056407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165884085 + ... + 165884715.
It is an arithmetic number, because the mean of its divisors is an integer number (568481472).
Almost surely, 2104673056400 is an apocalyptic number.
104673056400 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 104673056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204653329920).
104673056400 is an abundant number, since it is smaller than the sum of its proper divisors (304633603440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104673056400 is a wasteful number, since it uses less digits than its factorization.
104673056400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 796 (or 782 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The spelling of 104673056400 in words is "one hundred four billion, six hundred seventy-three million, fifty-six thousand, four hundred".
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