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106788088 = 23113133877
BaseRepresentation
bin1100101110101…
…11010011111000
321102221101201101
412113113103320
5204314204323
614332501144
72434453351
oct627272370
9242841641
10106788088
1155308520
122b91a7b4
131917c424
141027ad28
159595dad
hex65d74f8

106788088 has 32 divisors (see below), whose sum is σ = 219184560. Its totient is φ = 48372480.

The previous prime is 106788083. The next prime is 106788091. The reversal of 106788088 is 880887601.

It is a super-3 number, since 3×1067880883 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106788083) 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, 25606 + ... + 29482.

Almost surely, 2106788088 is an apocalyptic number.

It is an amenable number.

106788088 is an abundant number, since it is smaller than the sum of its proper divisors (112396472).

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

106788088 is a wasteful number, since it uses less digits than its factorization.

106788088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The square root of 106788088 is about 10333.8322030116. The cubic root of 106788088 is about 474.4323234973.

The spelling of 106788088 in words is "one hundred six million, seven hundred eighty-eight thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 313 626 1252 2504 3443 3877 6886 7754 13772 15508 27544 31016 42647 85294 170588 341176 1213501 2427002 4854004 9708008 13348511 26697022 53394044 106788088