Base | Representation |
---|---|
bin | 110001100010111000… |
… | …1100000111011100100 |
3 | 101011122000022012010001 |
4 | 1203011301200323210 |
5 | 3220400202302341 |
6 | 120513411311044 |
7 | 10454424120100 |
oct | 1430561407344 |
9 | 334560265101 |
10 | 106397306596 |
11 | 41139562249 |
12 | 187542ab484 |
13 | a057cb5b69 |
14 | 5214932900 |
15 | 2b7aba2d31 |
hex | 18c5c60ee4 |
106397306596 has 81 divisors (see below), whose sum is σ = 226644847401. Its totient is φ = 43573230624.
The previous prime is 106397306591. The next prime is 106397306599. The reversal of 106397306596 is 695603793601.
The square root of 106397306596 is 326186.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 209960100 + 106187346496 = 14490^2 + 325864^2 .
It is a super-2 number, since 2×1063973065962 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106397306591) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105031386 + ... + 105032398.
Almost surely, 2106397306596 is an apocalyptic number.
106397306596 is the 326186-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106397306596
106397306596 is an abundant number, since it is smaller than the sum of its proper divisors (120247540805).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106397306596 is an equidigital number, since it uses as much as digits as its factorization.
106397306596 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).
The product of its (nonzero) digits is 5511240, while the sum is 55.
The spelling of 106397306596 in words is "one hundred six billion, three hundred ninety-seven million, three hundred six thousand, five hundred ninety-six".
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