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106552277 = 1317279359
BaseRepresentation
bin1100101100111…
…01101111010101
321102111102020122
412112131233111
5204234133102
614323441325
72432452016
oct626355725
9242442218
10106552277
1155167337
122b826245
13190c8cb0
141021900d
15954b0a2
hex659dbd5

106552277 has 24 divisors (see below), whose sum is σ = 123782400. Its totient is φ = 91143936.

The previous prime is 106552241. The next prime is 106552279. The reversal of 106552277 is 772255601.

It is a happy number.

It is not a de Polignac number, because 106552277 - 26 = 106552213 is a prime.

It is a super-2 number, since 2×1065522772 = 22706775467769458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106552279) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 296624 + ... + 296982.

It is an arithmetic number, because the mean of its divisors is an integer number (5157600).

Almost surely, 2106552277 is an apocalyptic number.

106552277 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106552277 is a deficient number, since it is larger than the sum of its proper divisors (17230123).

106552277 is a wasteful number, since it uses less digits than its factorization.

106552277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 106552277 is about 10322.4162384589. The cubic root of 106552277 is about 474.0828500280.

The spelling of 106552277 in words is "one hundred six million, five hundred fifty-two thousand, two hundred seventy-seven".

Divisors: 1 13 17 79 221 289 359 1027 1343 3757 4667 6103 17459 22831 28361 79339 103751 296803 368693 482137 1348763 6267781 8196329 106552277