| Base | Representation |
|---|---|
| bin | 1100101010100… |
| … | …01111010011000 |
| 3 | 21101220122012100 |
| 4 | 12111101322120 |
| 5 | 204144213223 |
| 6 | 14313043400 |
| 7 | 2430016350 |
| oct | 625217230 |
| 9 | 241818170 |
| 10 | 106241688 |
| 11 | 54a74a53 |
| 12 | 2b6b6560 |
| 13 | 1901a807 |
| 14 | 10177b60 |
| 15 | 94d9043 |
| hex | 6551e98 |
106241688 has 96 divisors (see below), whose sum is σ = 330464160. Its totient is φ = 30205440.
The previous prime is 106241683. The next prime is 106241693. The reversal of 106241688 is 886142601.
106241688 is a `hidden beast` number, since 10 + 624 + 16 + 8 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (106241683) and next prime (106241693).
It is a super-2 number, since 2×1062416882 = 22574592538178688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106241683) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 139228 + ... + 139988.
It is an arithmetic number, because the mean of its divisors is an integer number (3442335).
Almost surely, 2106241688 is an apocalyptic number.
106241688 is a gapful number since it is divisible by the number (18) 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 106241688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165232080).
106241688 is an abundant number, since it is smaller than the sum of its proper divisors (224222472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106241688 is a wasteful number, since it uses less digits than its factorization.
106241688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 106241688 is about 10307.3608649353. The cubic root of 106241688 is about 473.6217673790.
It can be divided in two parts, 106241 and 688, that added together give a square (106929 = 3272).
The spelling of 106241688 in words is "one hundred six million, two hundred forty-one thousand, six hundred eighty-eight".
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