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105655014 = 23246712569
BaseRepresentation
bin1100100110000…
…10101011100110
321100210211102200
412103002223212
5204021430024
614252315330
72422024053
oct623025346
9240724380
10105655014
11547041a3
122b472b46
1318b7377a
141006402a
1594202c9
hex64c2ae6

105655014 has 24 divisors (see below), whose sum is σ = 229427640. Its totient is φ = 35140128.

The previous prime is 105655007. The next prime is 105655021. The reversal of 105655014 is 410556501.

It is a happy number.

105655014 is a `hidden beast` number, since 1 + 0 + 5 + 655 + 0 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105655007) and next prime (105655021).

It is a super-2 number, since 2×1056550142 = 22325963966680392, which contains 22 as substring.

It is a congruent number.

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, 2122 + ... + 14690.

It is an arithmetic number, because the mean of its divisors is an integer number (9559485).

Almost surely, 2105655014 is an apocalyptic number.

105655014 is an abundant number, since it is smaller than the sum of its proper divisors (123772626).

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

105655014 is a wasteful number, since it uses less digits than its factorization.

105655014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105655014 is about 10278.8624857034. The cubic root of 105655014 is about 472.7483669469.

The spelling of 105655014 in words is "one hundred five million, six hundred fifty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 467 934 1401 2802 4203 8406 12569 25138 37707 75414 113121 226242 5869723 11739446 17609169 35218338 52827507 105655014