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105992936 = 2374344017
BaseRepresentation
bin1100101000101…
…01001011101000
321101102222222022
412110111023220
5204113233221
614303444012
72424632210
oct624251350
9241388868
10105992936
1154915075
122b5b6608
1318c6151a
1410111240
15948a4ab
hex65152e8

105992936 has 32 divisors (see below), whose sum is σ = 232415040. Its totient is φ = 44368128.

The previous prime is 105992933. The next prime is 105992959. The reversal of 105992936 is 639299501.

It is a super-3 number, since 3×1059929363 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105992933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19601 + ... + 24416.

It is an arithmetic number, because the mean of its divisors is an integer number (7262970).

Almost surely, 2105992936 is an apocalyptic number.

It is an amenable number.

105992936 is an abundant number, since it is smaller than the sum of its proper divisors (126422104).

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

105992936 is a wasteful number, since it uses less digits than its factorization.

105992936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44073 (or 44069 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 44.

The square root of 105992936 is about 10295.2870771047. The cubic root of 105992936 is about 473.2518359104.

The spelling of 105992936 in words is "one hundred five million, nine hundred ninety-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 44017 88034 176068 308119 352136 616238 1232476 1892731 2464952 3785462 7570924 13249117 15141848 26498234 52996468 105992936