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105034671 = 337555739
BaseRepresentation
bin1100100001010…
…11001110101111
321022122022111000
412100223032233
5203342102141
614231131343
72413531350
oct620531657
9238568430
10105034671
1154320115
122b213b53
13189b72c1
14dd41d27
15934b5b6
hex642b3af

105034671 has 16 divisors (see below), whose sum is σ = 177836800. Its totient is φ = 60019704.

The previous prime is 105034669. The next prime is 105034697. The reversal of 105034671 is 176430501.

It is not a de Polignac number, because 105034671 - 21 = 105034669 is a prime.

It is a super-2 number, since 2×1050346712 = 22064564224156482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034271) 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, 277681 + ... + 278058.

It is an arithmetic number, because the mean of its divisors is an integer number (11114800).

Almost surely, 2105034671 is an apocalyptic number.

105034671 is a deficient number, since it is larger than the sum of its proper divisors (72802129).

105034671 is an equidigital number, since it uses as much as digits as its factorization.

105034671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555755 (or 555749 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105034671 is about 10248.6423978984. The cubic root of 105034671 is about 471.8213184024.

It can be divided in two parts, 1050 and 34671, that added together give a square (35721 = 1892).

The spelling of 105034671 in words is "one hundred five million, thirty-four thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 189 555739 1667217 3890173 5001651 11670519 15004953 35011557 105034671