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104005125 = 3253747281
BaseRepresentation
bin1100011001011…
…11111000000101
321020201000012200
412030233320011
5203111131000
614153105113
72402012640
oct614577005
9236630180
10104005125
1153787654
122a9b8199
13187167c3
14db54a57
1591e6500
hex632fe05

104005125 has 96 divisors (see below), whose sum is σ = 219608064. Its totient is φ = 46368000.

The previous prime is 104005123. The next prime is 104005127. The reversal of 104005125 is 521500401.

It is an interprime number because it is at equal distance from previous prime (104005123) and next prime (104005127).

It is not a de Polignac number, because 104005125 - 21 = 104005123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104005098 and 104005107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104005123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369985 + ... + 370265.

It is an arithmetic number, because the mean of its divisors is an integer number (2287584).

Almost surely, 2104005125 is an apocalyptic number.

104005125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104005125 is an abundant number, since it is smaller than the sum of its proper divisors (115602939).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104005125 is a wasteful number, since it uses less digits than its factorization.

104005125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 104005125 is about 10198.2902978882. The cubic root of 104005125 is about 470.2746621546.

Adding to 104005125 its reverse (521500401), we get a palindrome (625505526).

The spelling of 104005125 in words is "one hundred four million, five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 125 141 175 225 235 281 315 329 375 423 525 705 843 875 987 1125 1175 1405 1575 1645 1967 2115 2529 2625 2961 3525 4215 4935 5875 5901 7025 7875 8225 9835 10575 12645 13207 14805 17625 17703 21075 24675 29505 35125 39621 41125 49175 52875 63225 66035 74025 88515 92449 105375 118863 123375 147525 198105 245875 277347 316125 330175 370125 442575 462245 594315 737625 832041 990525 1386735 1650875 2212875 2311225 2971575 4160205 4952625 6933675 11556125 14857875 20801025 34668375 104005125