| Base | Representation |
|---|---|
| bin | 110001101110000000… |
| … | …1110000111100010000 |
| 3 | 101012121000211202212200 |
| 4 | 1203130001300330100 |
| 5 | 3222131242241412 |
| 6 | 121014425523200 |
| 7 | 10466606452200 |
| oct | 1433401607420 |
| 9 | 335530752780 |
| 10 | 106770665232 |
| 11 | 41310291100 |
| 12 | 18839343500 |
| 13 | a0b745a12a |
| 14 | 524c360400 |
| 15 | 2b9d8529dc |
| hex | 18dc070f10 |
106770665232 has 540 divisors, whose sum is σ = 387147720960. Its totient is φ = 27364296960.
The previous prime is 106770665227. The next prime is 106770665237. The reversal of 106770665232 is 232566077601.
106770665232 is a `hidden beast` number, since 1 + 0 + 67 + 7 + 0 + 66 + 523 + 2 = 666.
106770665232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (106770665227) and next prime (106770665237).
It is a super-2 number, since 2×1067706652322 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106770665237) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67447513 + ... + 67449095.
It is an arithmetic number, because the mean of its divisors is an integer number (716940224).
Almost surely, 2106770665232 is an apocalyptic number.
106770665232 is a gapful number since it is divisible by the number (12) 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 106770665232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193573860480).
106770665232 is an abundant number, since it is smaller than the sum of its proper divisors (280377055728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106770665232 is a wasteful number, since it uses less digits than its factorization.
106770665232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1712 (or 1685 counting only the distinct ones).
The product of its (nonzero) digits is 635040, while the sum is 45.
The spelling of 106770665232 in words is "one hundred six billion, seven hundred seventy million, six hundred sixty-five thousand, two hundred thirty-two".
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