Search a number
-
+
105065148 = 22337323473
BaseRepresentation
bin1100100001100…
…10101010111100
321022200212021210
412100302222330
5203344041043
614231524420
72414016246
oct620625274
9238625253
10105065148
1154341001
122b229710
13189c8136
14dd4d096
159355633
hex6432abc

105065148 has 24 divisors (see below), whose sum is σ = 245819728. Its totient is φ = 34926336.

The previous prime is 105065143. The next prime is 105065153. The reversal of 105065148 is 841560501.

It is an interprime number because it is at equal distance from previous prime (105065143) and next prime (105065153).

It is a super-2 number, since 2×1050651482 = 22077370648523808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065143) 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 7 ways as a sum of consecutive naturals, for example, 7261 + ... + 16212.

Almost surely, 2105065148 is an apocalyptic number.

It is an amenable number.

105065148 is an abundant number, since it is smaller than the sum of its proper divisors (140754580).

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

105065148 is a wasteful number, since it uses less digits than its factorization.

105065148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23853 (or 23851 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105065148 is about 10250.1291699178. The cubic root of 105065148 is about 471.8669487567.

The spelling of 105065148 in words is "one hundred five million, sixty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 373 746 1119 1492 2238 4476 23473 46946 70419 93892 140838 281676 8755429 17510858 26266287 35021716 52532574 105065148