| Base | Representation |
|---|---|
| bin | 1100101011010… |
| … | …11100100100110 |
| 3 | 21102002222101000 |
| 4 | 12111223210212 |
| 5 | 204211044130 |
| 6 | 14315214130 |
| 7 | 2430634644 |
| oct | 625534446 |
| 9 | 242088330 |
| 10 | 106346790 |
| 11 | 55036a10 |
| 12 | 2b747346 |
| 13 | 190565c4 |
| 14 | 101a4194 |
| 15 | 950a260 |
| hex | 656b926 |
106346790 has 128 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 25315200.
The previous prime is 106346789. The next prime is 106346791. The reversal of 106346790 is 97643601.
106346790 is a `hidden beast` number, since 10 + 634 + 6 + 7 + 9 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (106346789) and next prime (106346791).
It is a super-2 number, since 2×1063467902 = 22619279486608200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106346791) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180877 + ... + 181463.
It is an arithmetic number, because the mean of its divisors is an integer number (2460780).
Almost surely, 2106346790 is an apocalyptic number.
106346790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 106346790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).
106346790 is an abundant number, since it is smaller than the sum of its proper divisors (208633050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106346790 is a wasteful number, since it uses less digits than its factorization.
106346790 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 675 (or 669 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 106346790 is about 10312.4579999145. The cubic root of 106346790 is about 473.7778962648. Note that the first 3 decimals are identical.
It can be divided in two parts, 10634 and 6790, that added together give a square (17424 = 1322).
The spelling of 106346790 in words is "one hundred six million, three hundred forty-six thousand, seven hundred ninety".
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