Search a number
-
+
105278058 = 2325848781
BaseRepresentation
bin1100100011001…
…10101001101010
321100002200100100
412101212221222
5203422344213
614240250230
72415564054
oct621465152
9240080310
10105278058
1154476a66
122b310976
1318a71012
14dda68d4
159398773
hex6466a6a

105278058 has 12 divisors (see below), whose sum is σ = 228102498. Its totient is φ = 35092680.

The previous prime is 105278053. The next prime is 105278099. The reversal of 105278058 is 850872501.

105278058 is a `hidden beast` number, since 1 + 0 + 527 + 80 + 58 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87104889 + 18173169 = 9333^2 + 4263^2 .

It is a super-3 number, since 3×1052780583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105278053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2924373 + ... + 2924408.

Almost surely, 2105278058 is an apocalyptic number.

105278058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105278058 is an abundant number, since it is smaller than the sum of its proper divisors (122824440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105278058 is a wasteful number, since it uses less digits than its factorization.

105278058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848789 (or 5848786 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105278058 is about 10260.5096364654. The cubic root of 105278058 is about 472.1854730484.

The spelling of 105278058 in words is "one hundred five million, two hundred seventy-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 5848781 11697562 17546343 35092686 52639029 105278058