Base | Representation |
---|---|
bin | 1100100110001… |
… | …11010110000000 |
3 | 21100211210122000 |
4 | 12103013112000 |
5 | 204023032422 |
6 | 14252544000 |
7 | 2422133535 |
oct | 623072600 |
9 | 240753560 |
10 | 105674112 |
11 | 54717585 |
12 | 2b482000 |
13 | 18b7c37b |
14 | 1006ad8c |
15 | 9425cac |
hex | 64c7580 |
105674112 has 64 divisors (see below), whose sum is σ = 311895600. Its totient is φ = 35223552.
The previous prime is 105674087. The next prime is 105674117. The reversal of 105674112 is 211476501.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1056741122 = 22334035893977088, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105674117) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 11833 + ... + 18744.
Almost surely, 2105674112 is an apocalyptic number.
105674112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
105674112 is an abundant number, since it is smaller than the sum of its proper divisors (206221488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105674112 is an equidigital number, since it uses as much as digits as its factorization.
105674112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30600 (or 30582 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The square root of 105674112 is about 10279.7914375730. The cubic root of 105674112 is about 472.7768495970.
The spelling of 105674112 in words is "one hundred five million, six hundred seventy-four thousand, one hundred twelve".
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