| Base | Representation |
|---|---|
| bin | 1100101100010… |
| … | …10001101001100 |
| 3 | 21102100100111100 |
| 4 | 12112022031030 |
| 5 | 204224103033 |
| 6 | 14322023100 |
| 7 | 2431666530 |
| oct | 626121514 |
| 9 | 242310440 |
| 10 | 106472268 |
| 11 | 55112211 |
| 12 | 2b7a7a90 |
| 13 | 1909b756 |
| 14 | 101d7bc0 |
| 15 | 9532513 |
| hex | 658a34c |
106472268 has 72 divisors (see below), whose sum is σ = 308599200. Its totient is φ = 30320640.
The previous prime is 106472263. The next prime is 106472269. The reversal of 106472268 is 862274601.
106472268 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 2 + 6 + 8 = 666.
It is a super-2 number, since 2×1064722682 = 22672687706127648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 11.
It is not an unprimeable number, because it can be changed into a prime (106472263) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112678 + ... + 113618.
It is an arithmetic number, because the mean of its divisors is an integer number (4286100).
Almost surely, 2106472268 is an apocalyptic number.
106472268 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 106472268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154299600).
106472268 is an abundant number, since it is smaller than the sum of its proper divisors (202126932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106472268 is a wasteful number, since it uses less digits than its factorization.
106472268 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 106472268 is about 10318.5400130057. The cubic root of 106472268 is about 473.9641590162.
It can be divided in two parts, 10647 and 2268, that multiplied together give a square (24147396 = 49142).
The spelling of 106472268 in words is "one hundred six million, four hundred seventy-two thousand, two hundred sixty-eight".
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