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105936342 = 23155311369
BaseRepresentation
bin1100101000001…
…11010111010110
321101100010100020
412110013113112
5204104430332
614302330010
72424305211
oct624072726
9241303306
10105936342
11548865a6
122b589906
1318c41835
14100d8778
15947882c
hex65075d6

105936342 has 16 divisors (see below), whose sum is σ = 212027760. Its totient is φ = 35286272.

The previous prime is 105936301. The next prime is 105936361. The reversal of 105936342 is 243639501.

It is a super-2 number, since 2×1059363422 = 22445017112681928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3634 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (13251735).

Almost surely, 2105936342 is an apocalyptic number.

105936342 is an abundant number, since it is smaller than the sum of its proper divisors (106091418).

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

105936342 is a wasteful number, since it uses less digits than its factorization.

105936342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 105936342 is about 10292.5381709275. The cubic root of 105936342 is about 473.1675913569.

It can be divided in two parts, 1059 and 36342, that added together give a triangular number (37401 = T273).

The spelling of 105936342 in words is "one hundred five million, nine hundred thirty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 1553 3106 4659 9318 11369 22738 34107 68214 17656057 35312114 52968171 105936342