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103106349 = 3241279421
BaseRepresentation
bin1100010010101…
…00011100101101
321012000100022200
412021110130231
5202343400344
614121532113
72361250413
oct611243455
9235010280
10103106349
1153223365
122a644039
1318490698
14d99d2b3
1590ba069
hex625472d

103106349 has 12 divisors (see below), whose sum is σ = 152564412. Its totient is φ = 67060800.

The previous prime is 103106321. The next prime is 103106357. The reversal of 103106349 is 943601301.

103106349 is a `hidden beast` number, since 1 + 0 + 310 + 6 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35784324 + 67322025 = 5982^2 + 8205^2 .

It is not a de Polignac number, because 103106349 - 25 = 103106317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103106249) 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 11 ways as a sum of consecutive naturals, for example, 139342 + ... + 140079.

It is an arithmetic number, because the mean of its divisors is an integer number (12713701).

Almost surely, 2103106349 is an apocalyptic number.

It is an amenable number.

103106349 is a deficient number, since it is larger than the sum of its proper divisors (49458063).

103106349 is a wasteful number, since it uses less digits than its factorization.

103106349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279468 (or 279465 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 103106349 is about 10154.1296525108. The cubic root of 103106349 is about 468.9160913289.

The spelling of 103106349 in words is "one hundred three million, one hundred six thousand, three hundred forty-nine".

Divisors: 1 3 9 41 123 369 279421 838263 2514789 11456261 34368783 103106349