| Base | Representation |
|---|---|
| bin | 1100101011010… |
| … | …00101110100100 |
| 3 | 21102002101101112 |
| 4 | 12111220232210 |
| 5 | 204210211030 |
| 6 | 14315044152 |
| 7 | 2430555662 |
| oct | 625505644 |
| 9 | 242071345 |
| 10 | 106335140 |
| 11 | 5502918a |
| 12 | 2b740658 |
| 13 | 19051202 |
| 14 | 1019dc32 |
| 15 | 9506a95 |
| hex | 6568ba4 |
106335140 has 48 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 41061120.
The previous prime is 106335137. The next prime is 106335143. The reversal of 106335140 is 41533601.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (106335137) and next prime (106335143).
It is a super-2 number, since 2×1063351402 = 22614323997639200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106335143) 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 15 ways as a sum of consecutive naturals, for example, 83831 + ... + 85089.
It is an arithmetic number, because the mean of its divisors is an integer number (4815720).
Almost surely, 2106335140 is an apocalyptic number.
106335140 is a gapful number since it is divisible by the number (10) 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 106335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).
106335140 is an abundant number, since it is smaller than the sum of its proper divisors (124819420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106335140 is a wasteful number, since it uses less digits than its factorization.
106335140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 23.
The square root of 106335140 is about 10311.8931336588. The cubic root of 106335140 is about 473.7605952755.
Adding to 106335140 its reverse (41533601), we get a palindrome (147868741).
The spelling of 106335140 in words is "one hundred six million, three hundred thirty-five thousand, one hundred forty".
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