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106187484 = 223133718397
BaseRepresentation
bin1100101010001…
…00101011011100
321101210212211210
412111010223130
5204140444414
614311544420
72426402334
oct625045334
9241725753
10106187484
1154a38257
122b68b110
1318ccbc40
14101620c4
1594c7e59
hex6544adc

106187484 has 48 divisors (see below), whose sum is σ = 274056608. Its totient is φ = 31788288.

The previous prime is 106187483. The next prime is 106187503. The reversal of 106187484 is 484781601.

It is a super-2 number, since 2×1061874842 = 22551563516500512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106187483) 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, 3427 + ... + 14970.

Almost surely, 2106187484 is an apocalyptic number.

It is an amenable number.

106187484 is an abundant number, since it is smaller than the sum of its proper divisors (167869124).

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

106187484 is a wasteful number, since it uses less digits than its factorization.

106187484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 106187484 is about 10304.7311464201. The cubic root of 106187484 is about 473.5412071584.

The spelling of 106187484 in words is "one hundred six million, one hundred eighty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 18397 36794 55191 73588 110382 220764 239161 478322 680689 717483 956644 1361378 1434966 2042067 2722756 2869932 4084134 8168268 8848957 17697914 26546871 35395828 53093742 106187484