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106532190 = 23259712203
BaseRepresentation
bin1100101100110…
…00110101011110
321102110101200200
412112120311132
5204233012230
614323204330
72432336322
oct626306536
9242411620
10106532190
1155153236
122b8166a6
13190bcacb
1410211982
159545160
hex6598d5e

106532190 has 48 divisors (see below), whose sum is σ = 279862128. Its totient is φ = 28113408.

The previous prime is 106532177. The next prime is 106532201. The reversal of 106532190 is 91235601.

106532190 is a `hidden beast` number, since 1 + 0 + 653 + 2 + 1 + 9 + 0 = 666.

It is a super-2 number, since 2×1065321902 = 22698215012392200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (5830461).

Almost surely, 2106532190 is an apocalyptic number.

106532190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106532190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139931064).

106532190 is an abundant number, since it is smaller than the sum of its proper divisors (173329938).

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

106532190 is a wasteful number, since it uses less digits than its factorization.

106532190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106532190 is about 10321.4432130395. The cubic root of 106532190 is about 474.0530571383.

Adding to 106532190 its reverse (91235601), we get a palindrome (197767791).

The spelling of 106532190 in words is "one hundred six million, five hundred thirty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 12203 24406 36609 61015 73218 109827 122030 183045 219654 366090 549135 1098270 1183691 2367382 3551073 5918455 7102146 10653219 11836910 17755365 21306438 35510730 53266095 106532190