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106553190 = 23534910177
BaseRepresentation
bin1100101100111…
…01111101100110
321102111110111110
412112131331212
5204234200230
614323445450
72432454462
oct626357546
9242443443
10106553190
1155167a97
122b826886
13190c9533
14102194a2
15954b4b0
hex659df66

106553190 has 32 divisors (see below), whose sum is σ = 256485600. Its totient is φ = 28329984.

The previous prime is 106553171. The next prime is 106553261. The reversal of 106553190 is 91355601.

It is a super-2 number, since 2×1065531902 = 22707164598352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 5382 + ... + 15558.

It is an arithmetic number, because the mean of its divisors is an integer number (8015175).

Almost surely, 2106553190 is an apocalyptic number.

106553190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106553190 is an abundant number, since it is smaller than the sum of its proper divisors (149932410).

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

106553190 is a wasteful number, since it uses less digits than its factorization.

106553190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 106553190 is about 10322.4604625060. The cubic root of 106553190 is about 474.0842040938.

The spelling of 106553190 in words is "one hundred six million, five hundred fifty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 349 698 1047 1745 2094 3490 5235 10177 10470 20354 30531 50885 61062 101770 152655 305310 3551773 7103546 10655319 17758865 21310638 35517730 53276595 106553190