| Base | Representation |
|---|---|
| bin | 1100101011100… |
| … | …00001011101000 |
| 3 | 21102010221021100 |
| 4 | 12111300023220 |
| 5 | 204212200142 |
| 6 | 14315441400 |
| 7 | 2431044000 |
| oct | 625601350 |
| 9 | 242127240 |
| 10 | 106365672 |
| 11 | 5504a116 |
| 12 | 2b756260 |
| 13 | 1906208a |
| 14 | 101ab000 |
| 15 | 9510b4c |
| hex | 65702e8 |
106365672 has 192 divisors, whose sum is σ = 346320000. Its totient is φ = 29465856.
The previous prime is 106365671. The next prime is 106365683. The reversal of 106365672 is 276563601.
106365672 is a `hidden beast` number, since 10 + 636 + 5 + 6 + 7 + 2 = 666.
It is a super-3 number, since 3×1063656723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (106365671) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457028 + ... + 1457100.
It is an arithmetic number, because the mean of its divisors is an integer number (1803750).
Almost surely, 2106365672 is an apocalyptic number.
106365672 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 106365672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173160000).
106365672 is an abundant number, since it is smaller than the sum of its proper divisors (239954328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106365672 is a wasteful number, since it uses less digits than its factorization.
106365672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 165 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 106365672 is about 10313.3734539189. The cubic root of 106365672 is about 473.8059345499.
The spelling of 106365672 in words is "one hundred six million, three hundred sixty-five thousand, six hundred seventy-two".
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