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105434064 = 2432732181
BaseRepresentation
bin1100100100011…
…00101111010000
321100101121100100
412102030233100
5203442342224
614243452400
72420113641
oct622145720
9240347310
10105434064
115457319a
122b387100
1318ac7028
14100076c8
1593c9ac9
hex648cbd0

105434064 has 30 divisors (see below), whose sum is σ = 295069346. Its totient is φ = 35144640.

The previous prime is 105434041. The next prime is 105434071. The reversal of 105434064 is 460434501.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 166464 = 10260^2 + 408^2 .

It is a super-2 number, since 2×1054340642 = 22232683703112192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365947 + ... + 366234.

Almost surely, 2105434064 is an apocalyptic number.

It is an amenable number.

105434064 is an abundant number, since it is smaller than the sum of its proper divisors (189635282).

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

105434064 is a wasteful number, since it uses less digits than its factorization.

105434064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732195 (or 732186 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105434064 is about 10268.1090761639. The cubic root of 105434064 is about 472.4185935172.

Adding to 105434064 its reverse (460434501), we get a palindrome (565868565).

The spelling of 105434064 in words is "one hundred five million, four hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 732181 1464362 2196543 2928724 4393086 5857448 6589629 8786172 11714896 13179258 17572344 26358516 35144688 52717032 105434064