Base | Representation |
---|---|
bin | 1100101010000… |
… | …11111010110100 |
3 | 21101210201120112 |
4 | 12111003322310 |
5 | 204140344442 |
6 | 14311522152 |
7 | 2426360300 |
oct | 625037264 |
9 | 241721515 |
10 | 106184372 |
11 | 54a35988 |
12 | 2b689358 |
13 | 18cca6b8 |
14 | 10160d00 |
15 | 94c7082 |
hex | 6543eb4 |
106184372 has 54 divisors (see below), whose sum is σ = 222060258. Its totient is φ = 44297568.
The previous prime is 106184357. The next prime is 106184381. The reversal of 106184372 is 273481601.
It can be written as a sum of positive squares in only one way, i.e., 104734756 + 1449616 = 10234^2 + 1204^2 .
It is a super-2 number, since 2×1061843722 = 22550241714068768, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 362258 + ... + 362550.
It is an arithmetic number, because the mean of its divisors is an integer number (4112227).
Almost surely, 2106184372 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106184372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111030129).
106184372 is an abundant number, since it is smaller than the sum of its proper divisors (115875886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106184372 is a wasteful number, since it uses less digits than its factorization.
106184372 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 397 (or 345 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 32.
The square root of 106184372 is about 10304.5801467115. The cubic root of 106184372 is about 473.5365811435.
The spelling of 106184372 in words is "one hundred six million, one hundred eighty-four thousand, three hundred seventy-two".
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