Base | Representation |
---|---|
bin | 1100100010001… |
… | …10010000100000 |
3 | 21022211221100012 |
4 | 12101012100200 |
5 | 203404123001 |
6 | 14233344052 |
7 | 2414502200 |
oct | 621062040 |
9 | 238757305 |
10 | 105145376 |
11 | 54396306 |
12 | 2b268028 |
13 | 18a257cb |
14 | dd70400 |
15 | 936e2bb |
hex | 6446420 |
105145376 has 36 divisors (see below), whose sum is σ = 240805278. Its totient is φ = 45061632.
The previous prime is 105145349. The next prime is 105145393. The reversal of 105145376 is 673541501.
It can be written as a sum of positive squares in only one way, i.e., 68227600 + 36917776 = 8260^2 + 6076^2 .
It is a super-2 number, since 2×1051453762 = 22111100188362752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31961 + ... + 35096.
Almost surely, 2105145376 is an apocalyptic number.
105145376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
105145376 is an abundant number, since it is smaller than the sum of its proper divisors (135659902).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105145376 is an equidigital number, since it uses as much as digits as its factorization.
105145376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67081 (or 67066 counting only the distinct ones).
The product of its (nonzero) digits is 12600, while the sum is 32.
The square root of 105145376 is about 10254.0419347689. The cubic root of 105145376 is about 471.9870244446.
Adding to 105145376 its reverse (673541501), we get a palindrome (778686877).
The spelling of 105145376 in words is "one hundred five million, one hundred forty-five thousand, three hundred seventy-six".
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