| Base | Representation |
|---|---|
| bin | 1100101011110… |
| … | …00111000100000 |
| 3 | 21102012202011100 |
| 4 | 12111320320200 |
| 5 | 204214320222 |
| 6 | 14320314400 |
| 7 | 2431252623 |
| oct | 625707040 |
| 9 | 242182140 |
| 10 | 106401312 |
| 11 | 55073976 |
| 12 | 2b772a00 |
| 13 | 19075374 |
| 14 | 101b9dba |
| 15 | 951b4ac |
| hex | 6578e20 |
106401312 has 72 divisors (see below), whose sum is σ = 315753984. Its totient is φ = 33922944.
The previous prime is 106401299. The next prime is 106401313. The reversal of 106401312 is 213104601.
It is a happy number.
106401312 is a `hidden beast` number, since 1 + 0 + 640 + 13 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×1064013122 = 22642478390642688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (106401313) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 14655.
It is an arithmetic number, because the mean of its divisors is an integer number (4385472).
Almost surely, 2106401312 is an apocalyptic number.
106401312 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 106401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157876992).
106401312 is an abundant number, since it is smaller than the sum of its proper divisors (209352672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106401312 is a wasteful number, since it uses less digits than its factorization.
106401312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16102 (or 16091 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 106401312 is about 10315.1011628583. The cubic root of 106401312 is about 473.8588481058.
Adding to 106401312 its reverse (213104601), we get a palindrome (319505913).
The spelling of 106401312 in words is "one hundred six million, four hundred one thousand, three hundred twelve".
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