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105195438 = 23219307589
BaseRepresentation
bin1100100010100…
…10011110101110
321022221111000100
412101102132232
5203412223223
614234411530
72415101145
oct621223656
9238844010
10105195438
115441a987
122b290ba6
1318a4252a
14dd8475c
15937e043
hex64527ae

105195438 has 24 divisors (see below), whose sum is σ = 239920200. Its totient is φ = 33219504.

The previous prime is 105195437. The next prime is 105195451. The reversal of 105195438 is 834591501.

105195438 is a `hidden beast` number, since 105 + 1 + 9 + 543 + 8 = 666.

It is a super-2 number, since 2×1051954382 = 22132160352023688, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105195437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153453 + ... + 154136.

It is an arithmetic number, because the mean of its divisors is an integer number (9996675).

Almost surely, 2105195438 is an apocalyptic number.

105195438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105195438 is an abundant number, since it is smaller than the sum of its proper divisors (134724762).

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

105195438 is a wasteful number, since it uses less digits than its factorization.

105195438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307616 (or 307613 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105195438 is about 10256.4827304491. The cubic root of 105195438 is about 472.0619203214.

The spelling of 105195438 in words is "one hundred five million, one hundred ninety-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 307589 615178 922767 1845534 2768301 5536602 5844191 11688382 17532573 35065146 52597719 105195438