| Base | Representation |
|---|---|
| bin | 110001110010101111… |
| … | …1110100011000000000 |
| 3 | 101020000002210101010000 |
| 4 | 1203211133310120000 |
| 5 | 3222442430213220 |
| 6 | 121042303040000 |
| 7 | 10503546036555 |
| oct | 1434537643000 |
| 9 | 336002711100 |
| 10 | 106929538560 |
| 11 | 41391a33a79 |
| 12 | 188825a0000 |
| 13 | a111344b10 |
| 14 | 52654b8a2c |
| 15 | 2bac786390 |
| hex | 18e57f4600 |
106929538560 has 400 divisors, whose sum is σ = 412458819696. Its totient is φ = 26320453632.
The previous prime is 106929538549. The next prime is 106929538571. The reversal of 106929538560 is 65835929601.
It is a happy number.
106929538560 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 29 + 53 + 8 + 560 = 666.
It is an interprime number because it is at equal distance from previous prime (106929538549) and next prime (106929538571).
It is a super-2 number, since 2×1069295385602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 106929538497 and 106929538506.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2675847 + ... + 2715513.
Almost surely, 2106929538560 is an apocalyptic number.
106929538560 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 106929538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206229409848).
106929538560 is an abundant number, since it is smaller than the sum of its proper divisors (305529281136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106929538560 is an equidigital number, since it uses as much as digits as its factorization.
106929538560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39715 (or 39690 counting only the distinct ones).
The product of its (nonzero) digits is 3499200, while the sum is 54.
The spelling of 106929538560 in words is "one hundred six billion, nine hundred twenty-nine million, five hundred thirty-eight thousand, five hundred sixty".
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