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105851304 = 233213113089
BaseRepresentation
bin1100100111100…
…10100110101000
321101011210200200
412103302212220
5204044220204
614300432200
72423502246
oct623624650
9241153620
10105851304
1154828719
122b548660
1318c11c10
14100b5796
15945d539
hex64f29a8

105851304 has 48 divisors (see below), whose sum is σ = 308735700. Its totient is φ = 32569344.

The previous prime is 105851293. The next prime is 105851321. The reversal of 105851304 is 403158501.

It can be written as a sum of positive squares in 2 ways, for example, as 101002500 + 4848804 = 10050^2 + 2202^2 .

It is a super-2 number, since 2×1058513042 = 22408997117000832, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55609 + ... + 57480.

Almost surely, 2105851304 is an apocalyptic number.

It is an amenable number.

105851304 is an abundant number, since it is smaller than the sum of its proper divisors (202884396).

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

105851304 is a wasteful number, since it uses less digits than its factorization.

105851304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113114 (or 113107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105851304 is about 10288.4062905778. The cubic root of 105851304 is about 473.0409492742.

The spelling of 105851304 in words is "one hundred five million, eight hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 113089 226178 339267 452356 678534 904712 1017801 1357068 1470157 2035602 2714136 2940314 4071204 4410471 5880628 8142408 8820942 11761256 13231413 17641884 26462826 35283768 52925652 105851304