Search a number
-
+
105065334 = 232112323071
BaseRepresentation
bin1100100001100…
…10101101110110
321022200212112200
412100302231312
5203344042314
614231525330
72414016633
oct620625566
9238625480
10105065334
1154341160
122b229846
13189c824a
14dd4d18a
159355709
hex6432b76

105065334 has 48 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 30452400.

The previous prime is 105065327. The next prime is 105065341. The reversal of 105065334 is 433560501.

105065334 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 653 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105065327) and next prime (105065341).

It is a super-2 number, since 2×1050653342 = 22077448817063112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105065298 and 105065307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6982 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (5398848).

Almost surely, 2105065334 is an apocalyptic number.

105065334 is an abundant number, since it is smaller than the sum of its proper divisors (154079370).

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

105065334 is a wasteful number, since it uses less digits than its factorization.

105065334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23113 (or 23110 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105065334 is about 10250.1382429702. The cubic root of 105065334 is about 471.8672272099.

The spelling of 105065334 in words is "one hundred five million, sixty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 23071 46142 69213 138426 207639 253781 415278 507562 530633 761343 1061266 1522686 1591899 2284029 3183798 4568058 4775697 5836963 9551394 11673926 17510889 35021778 52532667 105065334