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106606288 = 2423436737
BaseRepresentation
bin1100101101010…
…10111011010000
321102121011100001
412112222323100
5204242400123
614324535344
72433065335
oct626527320
9242534301
10106606288
11551a3978
122b851554
1319117759
141023098c
15955c0ad
hex65aaed0

106606288 has 40 divisors (see below), whose sum is σ = 220575168. Its totient is φ = 49792512.

The previous prime is 106606277. The next prime is 106606289. The reversal of 106606288 is 882606601.

It is a super-2 number, since 2×1066062882 = 22729801282277888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106606289) 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, 12456 + ... + 19192.

Almost surely, 2106606288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106606288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110287584).

106606288 is an abundant number, since it is smaller than the sum of its proper divisors (113968880).

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

106606288 is a wasteful number, since it uses less digits than its factorization.

106606288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 106606288 is about 10325.0321064876. The cubic root of 106606288 is about 474.1629401780.

The spelling of 106606288 in words is "one hundred six million, six hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 989 1978 3956 6737 7912 13474 15824 26948 53896 107792 154951 289691 309902 579382 619804 1158764 1239608 2317528 2479216 4635056 6662893 13325786 26651572 53303144 106606288