Search a number
-
+
105695060 = 2255284753
BaseRepresentation
bin1100100110011…
…00011101010100
321100212212100212
412103030131110
5204024220220
614253224552
72422251602
oct623143524
9240785325
10105695060
1154731299
122b492158
1318b88a73
1410074872
15942c0c5
hex64cc754

105695060 has 12 divisors (see below), whose sum is σ = 221959668. Its totient is φ = 42278016.

The previous prime is 105695039. The next prime is 105695063. The reversal of 105695060 is 60596501.

It can be written as a sum of positive squares in 2 ways, for example, as 58553104 + 47141956 = 7652^2 + 6866^2 .

It is a super-2 number, since 2×1056950602 = 22342891416807200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105695063) 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 3 ways as a sum of consecutive naturals, for example, 2642357 + ... + 2642396.

It is an arithmetic number, because the mean of its divisors is an integer number (18496639).

Almost surely, 2105695060 is an apocalyptic number.

105695060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105695060 is an abundant number, since it is smaller than the sum of its proper divisors (116264608).

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

105695060 is a wasteful number, since it uses less digits than its factorization.

105695060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284762 (or 5284760 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 105695060 is about 10280.8102793506. The cubic root of 105695060 is about 472.8080873805.

The spelling of 105695060 in words is "one hundred five million, six hundred ninety-five thousand, sixty".

Divisors: 1 2 4 5 10 20 5284753 10569506 21139012 26423765 52847530 105695060