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102045300 = 22352748593
BaseRepresentation
bin1100001010100…
…01011001110100
321010000102211120
412011101121310
5202110422200
614043103540
72346241110
oct605213164
9233012746
10102045300
1152669165
122a211bb0
13181ab746
14d7a4740
158e5a9a0
hex6151674

102045300 has 72 divisors (see below), whose sum is σ = 337436736. Its totient is φ = 23324160.

The previous prime is 102045289. The next prime is 102045301. The reversal of 102045300 is 3540201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102045300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102045301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22197 + ... + 26396.

Almost surely, 2102045300 is an apocalyptic number.

102045300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102045300 is an abundant number, since it is smaller than the sum of its proper divisors (235391436).

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

102045300 is a wasteful number, since it uses less digits than its factorization.

102045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48617 (or 48610 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102045300 is about 10101.7473735983. The cubic root of 102045300 is about 467.3020313864.

Adding to 102045300 its reverse (3540201), we get a palindrome (105585501).

The spelling of 102045300 in words is "one hundred two million, forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 48593 97186 145779 194372 242965 291558 340151 485930 583116 680302 728895 971860 1020453 1214825 1360604 1457790 1700755 2040906 2429650 2915580 3401510 3644475 4081812 4859300 5102265 6803020 7288950 8503775 10204530 14577900 17007550 20409060 25511325 34015100 51022650 102045300