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103680129 = 372705307
BaseRepresentation
bin1100010111000…
…00100010000001
321020002111101210
412023200202001
5203020231004
614142120333
72366160300
oct613404201
9236074353
10103680129
1153585463
122a8800a9
13186318b7
14daac437
159180089
hex62e0881

103680129 has 12 divisors (see below), whose sum is σ = 160810224. Its totient is φ = 59245704.

The previous prime is 103680121. The next prime is 103680139. The reversal of 103680129 is 921086301.

It is not a de Polignac number, because 103680129 - 23 = 103680121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103680096 and 103680105.

It is not an unprimeable number, because it can be changed into a prime (103680121) 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, 352507 + ... + 352800.

It is an arithmetic number, because the mean of its divisors is an integer number (13400852).

Almost surely, 2103680129 is an apocalyptic number.

It is an amenable number.

103680129 is a deficient number, since it is larger than the sum of its proper divisors (57130095).

103680129 is an equidigital number, since it uses as much as digits as its factorization.

103680129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705324 (or 705317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 103680129 is about 10182.3439835826. The cubic root of 103680129 is about 469.7843117773.

The spelling of 103680129 in words is "one hundred three million, six hundred eighty thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 49 147 705307 2115921 4937149 14811447 34560043 103680129