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103641057 = 3213885821
BaseRepresentation
bin1100010110101…
…10111111100001
321020000111210200
412023112333201
5203013003212
614141215413
72365635342
oct613267741
9236014720
10103641057
1153559073
122a861569
1318619b90
14da9c0c9
1591736dc
hex62d6fe1

103641057 has 12 divisors (see below), whose sum is σ = 161219604. Its totient is φ = 63779040.

The previous prime is 103641011. The next prime is 103641079. The reversal of 103641057 is 750146301.

103641057 is a `hidden beast` number, since 10 + 3 + 641 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 99380961 = 2064^2 + 9969^2 .

It is not a de Polignac number, because 103641057 - 223 = 95252449 is a prime.

It is a super-3 number, since 3×1036410573 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103641057.

It is not an unprimeable number, because it can be changed into a prime (103641007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442794 + ... + 443027.

It is an arithmetic number, because the mean of its divisors is an integer number (13434967).

Almost surely, 2103641057 is an apocalyptic number.

It is an amenable number.

103641057 is a deficient number, since it is larger than the sum of its proper divisors (57578547).

103641057 is a wasteful number, since it uses less digits than its factorization.

103641057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885840 (or 885837 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 103641057 is about 10180.4251875843. The cubic root of 103641057 is about 469.7252914069.

Adding to 103641057 its reverse (750146301), we get a palindrome (853787358).

The spelling of 103641057 in words is "one hundred three million, six hundred forty-one thousand, fifty-seven".

Divisors: 1 3 9 13 39 117 885821 2657463 7972389 11515673 34547019 103641057