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105029304 = 2334376221
BaseRepresentation
bin1100100001010…
…01111010111000
321022122001010020
412100221322320
5203341414204
614231050440
72413506612
oct620517270
9238561106
10105029304
1154317086
122b210a20
13189b4a23
14dd3ddb2
159349bd9
hex6429eb8

105029304 has 16 divisors (see below), whose sum is σ = 262573320. Its totient is φ = 35009760.

The previous prime is 105029299. The next prime is 105029311. The reversal of 105029304 is 403920501.

It is a super-2 number, since 2×1050293042 = 22062309397448832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4376221 = 105029304 / (1 + 0 + 5 + 0 + 2 + 9 + 3 + 0 + 4).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2188087 + ... + 2188134.

Almost surely, 2105029304 is an apocalyptic number.

It is an amenable number.

105029304 is an abundant number, since it is smaller than the sum of its proper divisors (157544016).

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

105029304 is a wasteful number, since it uses less digits than its factorization.

105029304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376230 (or 4376226 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105029304 is about 10248.3805549950. The cubic root of 105029304 is about 471.8132819826.

Adding to 105029304 its reverse (403920501), we get a palindrome (508949805).

The spelling of 105029304 in words is "one hundred five million, twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 4376221 8752442 13128663 17504884 26257326 35009768 52514652 105029304