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105728351 = 378997331
BaseRepresentation
bin1100100110101…
…00100101011111
321100221120000212
412103110211133
5204031301401
614254043035
72422450631
oct623244537
9240846025
10105728351
1154754303
122b4a947b
1318b9ac71
1410082a51
159436dbb
hex64d495f

105728351 has 16 divisors (see below), whose sum is σ = 111273120. Its totient is φ = 100362240.

The previous prime is 105728347. The next prime is 105728377. The reversal of 105728351 is 153827501.

It is a cyclic number.

It is not a de Polignac number, because 105728351 - 22 = 105728347 is a prime.

It is a super-2 number, since 2×1057283512 = 22356968410358402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728251) 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, 319256 + ... + 319586.

It is an arithmetic number, because the mean of its divisors is an integer number (6954570).

Almost surely, 2105728351 is an apocalyptic number.

105728351 is a deficient number, since it is larger than the sum of its proper divisors (5544769).

105728351 is an equidigital number, since it uses as much as digits as its factorization.

105728351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105728351 is about 10282.4292363235. The cubic root of 105728351 is about 472.8577226291.

The spelling of 105728351 in words is "one hundred five million, seven hundred twenty-eight thousand, three hundred fifty-one".

Divisors: 1 37 89 97 331 3293 3589 8633 12247 29459 32107 319421 1089983 1187959 2857523 105728351