| Base | Representation |
|---|---|
| bin | 110001000110010100… |
| … | …0001100111010100000 |
| 3 | 101002011012021000112000 |
| 4 | 1202030220030322200 |
| 5 | 3211414233022000 |
| 6 | 120234322204000 |
| 7 | 10421603002140 |
| oct | 1421450147240 |
| 9 | 332135230460 |
| 10 | 105438564000 |
| 11 | 407973587a0 |
| 12 | 185271b3600 |
| 13 | 9c34492953 |
| 14 | 5163484920 |
| 15 | 2b21921000 |
| hex | 188ca0cea0 |
105438564000 has 1536 divisors, whose sum is σ = 495142502400. Its totient is φ = 21150720000.
The previous prime is 105438563999. The next prime is 105438564001. The reversal of 105438564000 is 465834501.
It is a happy number.
105438564000 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 8 + 5 + 640 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (105438563999) and next prime (105438564001).
It is a super-2 number, since 2×1054385640002 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (105438564001) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 257795796 + ... + 257796204.
It is an arithmetic number, because the mean of its divisors is an integer number (322358400).
Almost surely, 2105438564000 is an apocalyptic number.
105438564000 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 105438564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247571251200).
105438564000 is an abundant number, since it is smaller than the sum of its proper divisors (389703938400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105438564000 is a wasteful number, since it uses less digits than its factorization.
105438564000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 492 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The spelling of 105438564000 in words is "one hundred five billion, four hundred thirty-eight million, five hundred sixty-four thousand".
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