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106256601 = 32112234813
BaseRepresentation
bin1100101010101…
…01100011011001
321101221101122200
412111111203121
5204200202401
614313240413
72430111003
oct625254331
9241841580
10106256601
1154a85180
122b703109
1319024539
141017d373
1594dd686
hex65558d9

106256601 has 24 divisors (see below), whose sum is σ = 168220416. Its totient is φ = 64095840.

The previous prime is 106256597. The next prime is 106256629. The reversal of 106256601 is 106652601.

It is a happy number.

106256601 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 56 + 601 = 666.

It is not a de Polignac number, because 106256601 - 22 = 106256597 is a prime.

It is a super-2 number, since 2×1062566012 = 22580930512146402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106256401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19671 + ... + 24483.

It is an arithmetic number, because the mean of its divisors is an integer number (7009184).

Almost surely, 2106256601 is an apocalyptic number.

106256601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106256601 is a deficient number, since it is larger than the sum of its proper divisors (61963815).

106256601 is a wasteful number, since it uses less digits than its factorization.

106256601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106256601 is about 10308.0842546033. The cubic root of 106256601 is about 473.6439268881.

The spelling of 106256601 in words is "one hundred six million, two hundred fifty-six thousand, six hundred one".

Divisors: 1 3 9 11 33 99 223 669 2007 2453 4813 7359 14439 22077 43317 52943 158829 476487 1073299 3219897 9659691 11806289 35418867 106256601