| Base | Representation |
|---|---|
| bin | 110001001011011001… |
| … | …1110000011010010000 |
| 3 | 101002121002122121122000 |
| 4 | 1202112303300122100 |
| 5 | 3212241444141021 |
| 6 | 120303303114000 |
| 7 | 10426045535502 |
| oct | 1422663603220 |
| 9 | 332532577560 |
| 10 | 105609365136 |
| 11 | 40874808160 |
| 12 | 18574442900 |
| 13 | 9c60995802 |
| 14 | 517c025d72 |
| 15 | 2b3190db26 |
| hex | 1896cf0690 |
105609365136 has 320 divisors, whose sum is σ = 337418403840. Its totient is φ = 31358223360.
The previous prime is 105609365123. The next prime is 105609365159. The reversal of 105609365136 is 631563906501.
105609365136 is a `hidden beast` number, since 1 + 0 + 5 + 609 + 3 + 6 + 5 + 1 + 36 = 666.
105609365136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1056093651362 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 105609365091 and 105609365100.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57930721 + ... + 57932543.
It is an arithmetic number, because the mean of its divisors is an integer number (1054432512).
Almost surely, 2105609365136 is an apocalyptic number.
105609365136 is a gapful number since it is divisible by the number (16) 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 105609365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168709201920).
105609365136 is an abundant number, since it is smaller than the sum of its proper divisors (231809038704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105609365136 is a wasteful number, since it uses less digits than its factorization.
105609365136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).
The product of its (nonzero) digits is 437400, while the sum is 45.
The spelling of 105609365136 in words is "one hundred five billion, six hundred nine million, three hundred sixty-five thousand, one hundred thirty-six".
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