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105723234 = 23253110821
BaseRepresentation
bin1100100110100…
…11010101100010
321100221022000100
412103103111202
5204031120414
614254003230
72422430001
oct623232542
9240838010
10105723234
1154750481
122b4a6516
1318b98836
1410080c38
159435609
hex64d3562

105723234 has 24 divisors (see below), whose sum is σ = 233391132. Its totient is φ = 34575840.

The previous prime is 105723209. The next prime is 105723263. The reversal of 105723234 is 432327501.

It can be written as a sum of positive squares in 2 ways, for example, as 101909025 + 3814209 = 10095^2 + 1953^2 .

It is a super-3 number, since 3×1057232343 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105723198 and 105723207.

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 11 ways as a sum of consecutive naturals, for example, 54457 + ... + 56364.

Almost surely, 2105723234 is an apocalyptic number.

105723234 is an abundant number, since it is smaller than the sum of its proper divisors (127667898).

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

105723234 is a wasteful number, since it uses less digits than its factorization.

105723234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110882 (or 110879 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105723234 is about 10282.1804107884. The cubic root of 105723234 is about 472.8500941108.

The spelling of 105723234 in words is "one hundred five million, seven hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 110821 221642 332463 664926 997389 1994778 5873513 11747026 17620539 35241078 52861617 105723234