Search a number
-
+
105104754 = 2327617673
BaseRepresentation
bin1100100001111…
…00010101110010
321022202212121200
412100330111302
5203401323004
614232432030
72414242566
oct620742562
9238685550
10105104754
1154368837
122b248616
1318a10181
14dd5d6a6
159362239
hex643c572

105104754 has 24 divisors (see below), whose sum is σ = 228055932. Its totient is φ = 34984320.

The previous prime is 105104731. The next prime is 105104759. The reversal of 105104754 is 457401501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95942025 + 9162729 = 9795^2 + 3027^2 .

It is a super-2 number, since 2×1051047542 = 22094018626801032, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105104759) 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 11 ways as a sum of consecutive naturals, for example, 9862 + ... + 17534.

Almost surely, 2105104754 is an apocalyptic number.

105104754 is an abundant number, since it is smaller than the sum of its proper divisors (122951178).

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

105104754 is a wasteful number, since it uses less digits than its factorization.

105104754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 105104754 is about 10252.0609635331. The cubic root of 105104754 is about 471.9262339236.

The spelling of 105104754 in words is "one hundred five million, one hundred four thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 761 1522 2283 4566 6849 7673 13698 15346 23019 46038 69057 138114 5839153 11678306 17517459 35034918 52552377 105104754