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106190128 = 24113119463
BaseRepresentation
bin1100101010001…
…01010100110000
321101211000110201
412111011110300
5204141041003
614312004544
72426413132
oct625052460
9241730421
10106190128
1154a3a240
122b690754
13190001c5
1410163052
1594c8b1d
hex6545530

106190128 has 40 divisors (see below), whose sum is σ = 231699456. Its totient is φ = 46708800.

The previous prime is 106190113. The next prime is 106190129. The reversal of 106190128 is 821091601.

It is a happy number.

It is a super-2 number, since 2×1061901282 = 22552686569312768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106190096 and 106190105.

It is not an unprimeable number, because it can be changed into a prime (106190129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4276 + ... + 15187.

Almost surely, 2106190128 is an apocalyptic number.

It is an amenable number.

106190128 is an abundant number, since it is smaller than the sum of its proper divisors (125509328).

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

106190128 is a wasteful number, since it uses less digits than its factorization.

106190128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513 (or 19507 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 106190128 is about 10304.8594362078. The cubic root of 106190128 is about 473.5451374162.

The spelling of 106190128 in words is "one hundred six million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 19463 38926 77852 155704 214093 311408 428186 603353 856372 1206706 1712744 2413412 3425488 4826824 6636883 9653648 13273766 26547532 53095064 106190128