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106405655 = 5611791949
BaseRepresentation
bin1100101011110…
…01111100010111
321102012222010012
412111321330113
5204214440110
614320350435
72431301366
oct625717427
9242188105
10106405655
1155077164
122b77541b
1319077335
14101bb7dd
15951c905
hex6579f17

106405655 has 16 divisors (see below), whose sum is σ = 130572000. Its totient is φ = 83218560.

The previous prime is 106405639. The next prime is 106405657. The reversal of 106405655 is 556504601.

It is not a de Polignac number, because 106405655 - 24 = 106405639 is a prime.

It is a super-2 number, since 2×1064056552 = 22644326831958050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106405657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53621 + ... + 55569.

It is an arithmetic number, because the mean of its divisors is an integer number (8160750).

Almost surely, 2106405655 is an apocalyptic number.

106405655 is a deficient number, since it is larger than the sum of its proper divisors (24166345).

106405655 is a wasteful number, since it uses less digits than its factorization.

106405655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194.

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106405655 is about 10315.3116773077. The cubic root of 106405655 is about 473.8652952099.

The spelling of 106405655 in words is "one hundred six million, four hundred five thousand, six hundred fifty-five".

Divisors: 1 5 61 179 305 895 1949 9745 10919 54595 118889 348871 594445 1744355 21281131 106405655