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102405345 = 3572197333
BaseRepresentation
bin1100001101010…
…01010011100001
321010200201201120
412012221103201
5202203432340
614054522453
72352300600
oct606512341
9233621646
10102405345
1152894719
122a366429
13182a65a3
14d859a37
158ecc4d0
hex61a94e1

102405345 has 48 divisors (see below), whose sum is σ = 200658240. Its totient is φ = 44343936.

The previous prime is 102405343. The next prime is 102405353. The reversal of 102405345 is 543504201.

It is not a de Polignac number, because 102405345 - 21 = 102405343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102405343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10299 + ... + 17631.

It is an arithmetic number, because the mean of its divisors is an integer number (4180380).

Almost surely, 2102405345 is an apocalyptic number.

102405345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102405345 is a deficient number, since it is larger than the sum of its proper divisors (98252895).

102405345 is a wasteful number, since it uses less digits than its factorization.

102405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 102405345 is about 10119.5526086878. The cubic root of 102405345 is about 467.8509780114.

Adding to 102405345 its reverse (543504201), we get a palindrome (645909546).

The spelling of 102405345 in words is "one hundred two million, four hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 399 665 735 931 1995 2793 4655 7333 13965 21999 36665 51331 109995 139327 153993 256655 359317 417981 696635 769965 975289 1077951 1796585 2089905 2925867 4876445 5389755 6827023 14629335 20481069 34135115 102405345