Base | Representation |
---|---|
bin | 1100101001110… |
… | …11000101000000 |
3 | 21101201212220100 |
4 | 12110323011000 |
5 | 204133220120 |
6 | 14311042400 |
7 | 2426146566 |
oct | 624730500 |
9 | 241655810 |
10 | 106148160 |
11 | 54a10758 |
12 | 2b670400 |
13 | 18cb7081 |
14 | 10151a36 |
15 | 94bb490 |
hex | 653b140 |
106148160 has 84 divisors (see below), whose sum is σ = 365115348. Its totient is φ = 28305408.
The previous prime is 106148111. The next prime is 106148201. The reversal of 106148160 is 61841601.
It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 54997056 = 7152^2 + 7416^2 .
It is a super-2 number, since 2×1061481602 = 22534863742771200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 21308.
Almost surely, 2106148160 is an apocalyptic number.
106148160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106148160 is an abundant number, since it is smaller than the sum of its proper divisors (258967188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106148160 is a wasteful number, since it uses less digits than its factorization.
106148160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36880 (or 36867 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 106148160 is about 10302.8229141338. The cubic root of 106148160 is about 473.4827450469.
Adding to 106148160 its reverse (61841601), we get a palindrome (167989761).
The spelling of 106148160 in words is "one hundred six million, one hundred forty-eight thousand, one hundred sixty".
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