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106506160 = 2451331327
BaseRepresentation
bin1100101100100…
…10011110110000
321102102001222121
412112102132300
5204231144120
614322444024
72432200405
oct626223660
9242361877
10106506160
1155135722
122b803614
13190b0cc7
14102062ac
15953c5aa
hex65927b0

106506160 has 20 divisors (see below), whose sum is σ = 247627008. Its totient is φ = 42602432.

The previous prime is 106506157. The next prime is 106506161. The reversal of 106506160 is 61605601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1065061602 = 22687124235891200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106506161) 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 3 ways as a sum of consecutive naturals, for example, 665584 + ... + 665743.

Almost surely, 2106506160 is an apocalyptic number.

106506160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106506160 is an abundant number, since it is smaller than the sum of its proper divisors (141120848).

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

106506160 is a wasteful number, since it uses less digits than its factorization.

106506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331340 (or 1331334 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106506160 is about 10320.1821689348. The cubic root of 106506160 is about 474.0144440636.

The spelling of 106506160 in words is "one hundred six million, five hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1331327 2662654 5325308 6656635 10650616 13313270 21301232 26626540 53253080 106506160