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105986013 = 3743117371
BaseRepresentation
bin1100101000100…
…11011111011101
321101102122110220
412110103133131
5204113023023
614303351553
72424603060
oct624233735
9241378426
10105986013
115490a951
122b5b25b9
1318c5b323
141010c8d7
1594883e3
hex65137dd

105986013 has 16 divisors (see below), whose sum is σ = 165259776. Its totient is φ = 59154480.

The previous prime is 105986003. The next prime is 105986033. The reversal of 105986013 is 310689501.

It is not a de Polignac number, because 105986013 - 26 = 105985949 is a prime.

It is a super-2 number, since 2×1059860132 = 22466069903272338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105986003) 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, 57783 + ... + 59588.

It is an arithmetic number, because the mean of its divisors is an integer number (10328736).

Almost surely, 2105986013 is an apocalyptic number.

It is an amenable number.

105986013 is a deficient number, since it is larger than the sum of its proper divisors (59273763).

105986013 is a wasteful number, since it uses less digits than its factorization.

105986013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117424.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 105986013 is about 10294.9508498098. The cubic root of 105986013 is about 473.2415320986.

The spelling of 105986013 in words is "one hundred five million, nine hundred eighty-six thousand, thirteen".

Divisors: 1 3 7 21 43 129 301 903 117371 352113 821597 2464791 5046953 15140859 35328671 105986013