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106718405 = 5292772657
BaseRepresentation
bin1100101110001…
…10010011000101
321102210212010112
412113012103011
5204304442110
614331202405
72434043243
oct627062305
9242725115
10106718405
1155270132
122b8a6405
13191567b1
141025d793
159580405
hex65c64c5

106718405 has 16 divisors (see below), whose sum is σ = 133006320. Its totient is φ = 82102272.

The previous prime is 106718369. The next prime is 106718407. The reversal of 106718405 is 504817601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2719201 + 103999204 = 1649^2 + 10198^2 .

It is a cyclic number.

It is not a de Polignac number, because 106718405 - 28 = 106718149 is a prime.

It is a super-2 number, since 2×1067184052 = 22777635931488050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106718407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38837 + ... + 41493.

It is an arithmetic number, because the mean of its divisors is an integer number (8312895).

Almost surely, 2106718405 is an apocalyptic number.

It is an amenable number.

106718405 is a deficient number, since it is larger than the sum of its proper divisors (26287915).

106718405 is a wasteful number, since it uses less digits than its factorization.

106718405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 106718405 is about 10330.4600575192. The cubic root of 106718405 is about 474.3291064259.

The spelling of 106718405 in words is "one hundred six million, seven hundred eighteen thousand, four hundred five".

Divisors: 1 5 29 145 277 1385 2657 8033 13285 40165 77053 385265 735989 3679945 21343681 106718405