| Base | Representation |
|---|---|
| bin | 1100101001000… |
| … | …11110100000100 |
| 3 | 21101120001012000 |
| 4 | 12110203310010 |
| 5 | 204122142433 |
| 6 | 14305025300 |
| 7 | 2425302015 |
| oct | 624436404 |
| 9 | 241501160 |
| 10 | 106052868 |
| 11 | 549560a9 |
| 12 | 2b625230 |
| 13 | 18c8289c |
| 14 | 1012900c |
| 15 | 949d113 |
| hex | 6523d04 |
106052868 has 96 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 32537088.
The previous prime is 106052857. The next prime is 106052879. The reversal of 106052868 is 868250601.
It is a happy number.
106052868 is a `hidden beast` number, since 10 + 60 + 528 + 68 = 666.
It is an interprime number because it is at equal distance from previous prime (106052857) and next prime (106052879).
It is a super-2 number, since 2×1060528682 = 22494421622050848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85678 + ... + 86906.
It is an arithmetic number, because the mean of its divisors is an integer number (3099600).
Almost surely, 2106052868 is an apocalyptic number.
106052868 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 106052868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).
106052868 is an abundant number, since it is smaller than the sum of its proper divisors (191508732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106052868 is a wasteful number, since it uses less digits than its factorization.
106052868 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1306 (or 1298 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 106052868 is about 10298.1973179775. The cubic root of 106052868 is about 473.3410166488.
The spelling of 106052868 in words is "one hundred six million, fifty-two thousand, eight hundred sixty-eight".
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