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105343504 = 2473372791
BaseRepresentation
bin1100100011101…
…10101000010000
321100020000010021
412101312220100
5203431443004
614241513224
72416255630
oct621665020
9240200107
10105343504
1154511152
122b342814
1318a94a46
14ddc26c0
1593acd54
hex6476a10

105343504 has 40 divisors (see below), whose sum is σ = 234036608. Its totient is φ = 44997120.

The previous prime is 105343501. The next prime is 105343531. The reversal of 105343504 is 405343501.

It is a super-2 number, since 2×1053435042 = 22194507669996032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105343501) 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 7 ways as a sum of consecutive naturals, for example, 36349 + ... + 39139.

Almost surely, 2105343504 is an apocalyptic number.

105343504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105343504 is an abundant number, since it is smaller than the sum of its proper divisors (128693104).

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

105343504 is a wasteful number, since it uses less digits than its factorization.

105343504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 105343504 is about 10263.6983587789. The cubic root of 105343504 is about 472.2832973236.

The spelling of 105343504 in words is "one hundred five million, three hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 337 674 1348 2359 2696 2791 4718 5392 5582 9436 11164 18872 19537 22328 37744 39074 44656 78148 156296 312592 940567 1881134 3762268 6583969 7524536 13167938 15049072 26335876 52671752 105343504