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105046161 = 31110131517
BaseRepresentation
bin1100100001011…
…10000010010001
321022122220020120
412100232002101
5203342434121
614231300453
72413610013
oct620560221
9238586216
10105046161
1154328810
122b21a729
13189bc5bc
14dd461b3
15934ebc6
hex642e091

105046161 has 16 divisors (see below), whose sum is σ = 154312128. Its totient is φ = 63032000.

The previous prime is 105046153. The next prime is 105046181. The reversal of 105046161 is 161640501.

It is a cyclic number.

It is not a de Polignac number, because 105046161 - 23 = 105046153 is a prime.

It is a super-2 number, since 2×1050461612 = 22069391881675842, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105046121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12426 + ... + 19091.

It is an arithmetic number, because the mean of its divisors is an integer number (9644508).

Almost surely, 2105046161 is an apocalyptic number.

105046161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105046161 is a deficient number, since it is larger than the sum of its proper divisors (49265967).

105046161 is a wasteful number, since it uses less digits than its factorization.

105046161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31632.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105046161 is about 10249.2029446196. The cubic root of 105046161 is about 471.8385223385.

Adding to 105046161 its reverse (161640501), we get a palindrome (266686662).

The spelling of 105046161 in words is "one hundred five million, forty-six thousand, one hundred sixty-one".

Divisors: 1 3 11 33 101 303 1111 3333 31517 94551 346687 1040061 3183217 9549651 35015387 105046161