| Base | Representation |
|---|---|
| bin | 1100101011000… |
| … | …11010110011000 |
| 3 | 21102001021011200 |
| 4 | 12111203112120 |
| 5 | 204204004422 |
| 6 | 14314354200 |
| 7 | 2430434523 |
| oct | 625432630 |
| 9 | 242037150 |
| 10 | 106313112 |
| 11 | 55013684 |
| 12 | 2b72b960 |
| 13 | 19044189 |
| 14 | 10195bba |
| 15 | 95002ac |
| hex | 6563598 |
106313112 has 96 divisors (see below), whose sum is σ = 296103600. Its totient is φ = 34449408.
The previous prime is 106313093. The next prime is 106313131. The reversal of 106313112 is 211313601.
106313112 is a `hidden beast` number, since 1 + 0 + 631 + 31 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (106313093) and next prime (106313131).
It is a super-2 number, since 2×1063131122 = 22604955566249088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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, 593839 + ... + 594017.
Almost surely, 2106313112 is an apocalyptic number.
106313112 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 106313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148051800).
106313112 is an abundant number, since it is smaller than the sum of its proper divisors (189790488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106313112 is a wasteful number, since it uses less digits than its factorization.
106313112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 377 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 106313112 is about 10310.8249912410. The cubic root of 106313112 is about 473.7278788435.
Adding to 106313112 its reverse (211313601), we get a palindrome (317626713).
The spelling of 106313112 in words is "one hundred six million, three hundred thirteen thousand, one hundred twelve".
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