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105521304 = 23372531693
BaseRepresentation
bin1100100101000…
…10000010011000
321100120001000110
412102202002120
5204003140204
614245404320
72420626200
oct622420230
9240501013
10105521304
1154622799
122b4096a0
1318b27955
141002b400
1593e5889
hex64a2098

105521304 has 96 divisors (see below), whose sum is σ = 312847920. Its totient is φ = 29562624.

The previous prime is 105521293. The next prime is 105521347. The reversal of 105521304 is 403125501.

It is a super-2 number, since 2×1055213042 = 22269491195720832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61482 + ... + 63174.

Almost surely, 2105521304 is an apocalyptic number.

105521304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105521304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423960).

105521304 is an abundant number, since it is smaller than the sum of its proper divisors (207326616).

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

105521304 is a wasteful number, since it uses less digits than its factorization.

105521304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105521304 is about 10272.3563022317. The cubic root of 105521304 is about 472.5488564021.

Adding to 105521304 its reverse (403125501), we get a palindrome (508646805).

The spelling of 105521304 in words is "one hundred five million, five hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 1693 2226 2597 2968 3386 4452 5079 5194 6772 7791 8904 10158 10388 11851 13544 15582 20316 20776 23702 31164 35553 40632 47404 62328 71106 82957 89729 94808 142212 165914 179458 248871 269187 284424 331828 358916 497742 538374 628103 663656 717832 995484 1076748 1256206 1884309 1990968 2153496 2512412 3768618 4396721 5024824 7537236 8793442 13190163 15074472 17586884 26380326 35173768 52760652 105521304