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105704214 = 23711228797
BaseRepresentation
bin1100100110011…
…10101100010110
321100220022220220
412103032230112
5204030013324
614253335210
72422320360
oct623165426
9240808826
10105704214
1154738160
122b497506
1318b8cc95
1410077d30
15942eb79
hex64ceb16

105704214 has 32 divisors (see below), whose sum is σ = 263575296. Its totient is φ = 27455520.

The previous prime is 105704213. The next prime is 105704231. The reversal of 105704214 is 412407501.

It is a super-2 number, since 2×1057042142 = 22346761714715592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105704213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113937 + ... + 114860.

It is an arithmetic number, because the mean of its divisors is an integer number (8236728).

Almost surely, 2105704214 is an apocalyptic number.

105704214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105704214 is an abundant number, since it is smaller than the sum of its proper divisors (157871082).

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

105704214 is a wasteful number, since it uses less digits than its factorization.

105704214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228820.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 105704214 is about 10281.2554680837. The cubic root of 105704214 is about 472.8217365844.

The spelling of 105704214 in words is "one hundred five million, seven hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 228797 457594 686391 1372782 1601579 2516767 3203158 4804737 5033534 7550301 9609474 15100602 17617369 35234738 52852107 105704214