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106405144 = 2331716043
BaseRepresentation
bin1100101011110…
…01110100011000
321102012221102021
412111321310120
5204214431034
614320344224
72431300036
oct625716430
9242187367
10106405144
115507683a
122b775074
1319077031
14101bb556
15951c6b4
hex6579d18

106405144 has 32 divisors (see below), whose sum is σ = 208880640. Its totient is φ = 50752800.

The previous prime is 106405141. The next prime is 106405157. The reversal of 106405144 is 441504601.

It is a super-2 number, since 2×1064051442 = 22644109339321472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106405141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14587 + ... + 20629.

It is an arithmetic number, because the mean of its divisors is an integer number (6527520).

Almost surely, 2106405144 is an apocalyptic number.

It is an amenable number.

106405144 is a deficient number, since it is larger than the sum of its proper divisors (102475496).

106405144 is a wasteful number, since it uses less digits than its factorization.

106405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 106405144 is about 10315.2869082736. The cubic root of 106405144 is about 473.8645366488.

Adding to 106405144 its reverse (441504601), we get a palindrome (547909745).

The spelling of 106405144 in words is "one hundred six million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 31 62 71 124 142 248 284 568 2201 4402 6043 8804 12086 17608 24172 48344 187333 374666 429053 749332 858106 1498664 1716212 3432424 13300643 26601286 53202572 106405144