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105060645 = 3451491741
BaseRepresentation
bin1100100001100…
…01100100100101
321022200122010000
412100301210211
5203343420040
614231451513
72414000154
oct620614445
9238618100
10105060645
1154338688
122b226b99
13189c6081
14dd4b59b
159354130
hex6431925

105060645 has 40 divisors (see below), whose sum is σ = 189703800. Its totient is φ = 55624320.

The previous prime is 105060607. The next prime is 105060647. The reversal of 105060645 is 546060501.

It is a happy number.

105060645 is a `hidden beast` number, since 1 + 0 + 50 + 606 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 97476129 = 2754^2 + 9873^2 .

It is not a de Polignac number, because 105060645 - 29 = 105060133 is a prime.

It is a super-2 number, since 2×1050606452 = 22075478255632050, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59475 + ... + 61215.

It is an arithmetic number, because the mean of its divisors is an integer number (4742595).

Almost surely, 2105060645 is an apocalyptic number.

105060645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105060645 is a deficient number, since it is larger than the sum of its proper divisors (84643155).

105060645 is a wasteful number, since it uses less digits than its factorization.

105060645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105060645 is about 10249.9095117957. The cubic root of 105060645 is about 471.8602073927.

The spelling of 105060645 in words is "one hundred five million, sixty thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 149 405 447 745 1341 1741 2235 4023 5223 6705 8705 12069 15669 20115 26115 47007 60345 78345 141021 235035 259409 705105 778227 1297045 2334681 3891135 7004043 11673405 21012129 35020215 105060645