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120342105 = 3551319401
BaseRepresentation
bin1110010110001…
…00011001011001
322101110000100000
413023010121121
5221301421410
615535203213
72660614422
oct713043131
9271400300
10120342105
1161a25894
1234376509
131bc16860
1411da8649
15a871dc0
hex72c4659

120342105 has 96 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 55987200.

The previous prime is 120342097. The next prime is 120342107. The reversal of 120342105 is 501243021.

It is not a de Polignac number, because 120342105 - 23 = 120342097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120342107) 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 95 ways as a sum of consecutive naturals, for example, 299905 + ... + 300305.

It is an arithmetic number, because the mean of its divisors is an integer number (2560740).

Almost surely, 2120342105 is an apocalyptic number.

120342105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120342105 is an abundant number, since it is smaller than the sum of its proper divisors (125488935).

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

120342105 is a wasteful number, since it uses less digits than its factorization.

120342105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120342105 is about 10970.0549223785. The cubic root of 120342105 is about 493.7106943021.

Adding to 120342105 its reverse (501243021), we get a palindrome (621585126).

It can be divided in two parts, 120 and 342105, that added together give a square (342225 = 5852).

The spelling of 120342105 in words is "one hundred twenty million, three hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 243 247 285 351 401 405 513 585 741 855 1053 1203 1215 1235 1539 1755 2005 2223 2565 3159 3609 3705 4617 5213 5265 6015 6669 7619 7695 10827 11115 15639 15795 18045 20007 22857 23085 26065 32481 33345 38095 46917 54135 60021 68571 78195 97443 99047 100035 114285 140751 162405 205713 234585 297141 300105 342855 422253 487215 495235 617139 703755 891423 1028565 1266759 1485705 1851417 2111265 2674269 3085695 4457115 6333795 8022807 9257085 13371345 24068421 40114035 120342105