| Base | Representation |
|---|---|
| bin | 1100100011001… |
| … | …00110111001100 |
| 3 | 21100002022022000 |
| 4 | 12101210313030 |
| 5 | 203422130412 |
| 6 | 14240152300 |
| 7 | 2415533520 |
| oct | 621446714 |
| 9 | 240068260 |
| 10 | 105270732 |
| 11 | 54471506 |
| 12 | 2b308690 |
| 13 | 18a6a898 |
| 14 | dda3d80 |
| 15 | 93964dc |
| hex | 6464dcc |
105270732 has 96 divisors (see below), whose sum is σ = 330301440. Its totient is φ = 28304640.
The previous prime is 105270721. The next prime is 105270743. The reversal of 105270732 is 237072501.
It is an interprime number because it is at equal distance from previous prime (105270721) and next prime (105270743).
It is a super-2 number, since 2×1052707322 = 22163854031631648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 105270696 and 105270705.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 8757 + ... + 16947.
It is an arithmetic number, because the mean of its divisors is an integer number (3440640).
Almost surely, 2105270732 is an apocalyptic number.
105270732 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 105270732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150720).
105270732 is an abundant number, since it is smaller than the sum of its proper divisors (225030708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105270732 is a wasteful number, since it uses less digits than its factorization.
105270732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8228 (or 8220 counting only the distinct ones).
The product of its (nonzero) digits is 2940, while the sum is 27.
The square root of 105270732 is about 10260.1526304437. The cubic root of 105270732 is about 472.1745201139.
The spelling of 105270732 in words is "one hundred five million, two hundred seventy thousand, seven hundred thirty-two".
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