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105299530 = 25721712641
BaseRepresentation
bin1100100011010…
…11111001001010
321100010202210121
412101223321022
5203424041110
614240533454
72416013500
oct621537112
9240122717
10105299530
1154491106
122b32128a
1318a7aa1b
14ddb0670
15939ecda
hex646be4a

105299530 has 48 divisors (see below), whose sum is σ = 233472456. Its totient is φ = 33976320.

The previous prime is 105299477. The next prime is 105299569. The reversal of 105299530 is 35992501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61355889 + 43943641 = 7833^2 + 6629^2 .

It is a super-2 number, since 2×1052995302 = 22175982036441800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 2010 + ... + 14650.

Almost surely, 2105299530 is an apocalyptic number.

105299530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105299530 is an abundant number, since it is smaller than the sum of its proper divisors (128172926).

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

105299530 is a wasteful number, since it uses less digits than its factorization.

105299530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679 (or 12672 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 105299530 is about 10261.5559249073. Note that the first 3 decimals coincide. The cubic root of 105299530 is about 472.2175724161.

The spelling of 105299530 in words is "one hundred five million, two hundred ninety-nine thousand, five hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 12641 25282 63205 88487 126410 176974 214897 429794 442435 619409 884870 1074485 1238818 1504279 2148970 3008558 3097045 6194090 7521395 10529953 15042790 21059906 52649765 105299530