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103125060 = 223251767503
BaseRepresentation
bin1100010010110…
…01000001000100
321012001021222200
412021121001010
5202400000220
614122154500
72361356103
oct611310104
9235037880
10103125060
1153236425
122a652a30
131849905c
14d9a603a
1590c0890
hex6259044

103125060 has 144 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 25445376.

The previous prime is 103125053. The next prime is 103125079. The reversal of 103125060 is 60521301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204769 + ... + 205271.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064).

Almost surely, 2103125060 is an apocalyptic number.

103125060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

103125060 is an abundant number, since it is smaller than the sum of its proper divisors (233700156).

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

103125060 is a wasteful number, since it uses less digits than its factorization.

103125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103125060 is about 10155.0509599903. The cubic root of 103125060 is about 468.9444547885.

Adding to 103125060 its reverse (60521301), we get a palindrome (163646361).

The spelling of 103125060 in words is "one hundred three million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 67 68 85 90 102 134 153 170 180 201 204 255 268 306 335 340 402 503 510 603 612 670 765 804 1005 1006 1020 1139 1206 1340 1509 1530 2010 2012 2278 2412 2515 3015 3018 3060 3417 4020 4527 4556 5030 5695 6030 6036 6834 7545 8551 9054 10060 10251 11390 12060 13668 15090 17085 17102 18108 20502 22635 22780 25653 30180 33701 34170 34204 41004 42755 45270 51255 51306 67402 68340 76959 85510 90540 101103 102510 102612 128265 134804 153918 168505 171020 202206 205020 256530 303309 307836 337010 384795 404412 505515 513060 572917 606618 674020 769590 1011030 1145834 1213236 1516545 1539180 1718751 2022060 2291668 2864585 3033090 3437502 5156253 5729170 6066180 6875004 8593755 10312506 11458340 17187510 20625012 25781265 34375020 51562530 103125060