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105643986 = 23713191907
BaseRepresentation
bin1100100101111…
…11111111010010
321100210021022020
412102333333102
5204021101421
614252152310
72421646650
oct622777722
9240707266
10105643986
11546a6988
122b468696
1318b6b746
141005ddd0
15941bdc6
hex64bffd2

105643986 has 32 divisors (see below), whose sum is σ = 241781760. Its totient is φ = 30145296.

The previous prime is 105643981. The next prime is 105643997. The reversal of 105643986 is 689346501.

It is a super-2 number, since 2×1056439862 = 22321303555936392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105643981) 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, 54445 + ... + 56351.

It is an arithmetic number, because the mean of its divisors is an integer number (7555680).

Almost surely, 2105643986 is an apocalyptic number.

105643986 is an abundant number, since it is smaller than the sum of its proper divisors (136137774).

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

105643986 is a wasteful number, since it uses less digits than its factorization.

105643986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 105643986 is about 10278.3260310228. The cubic root of 105643986 is about 472.7319182863.

The spelling of 105643986 in words is "one hundred five million, six hundred forty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 1319 1907 2638 3814 3957 5721 7914 9233 11442 13349 18466 26698 27699 40047 55398 80094 2515333 5030666 7545999 15091998 17607331 35214662 52821993 105643986