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103107180 = 223511295387
BaseRepresentation
bin1100010010101…
…00101001101100
321012000101110110
412021110221230
5202343412210
614121540020
72361253011
oct611245154
9235011413
10103107180
1153223a50
122a644610
1318490b87
14d99d708
1590ba420
hex6254a6c

103107180 has 96 divisors (see below), whose sum is σ = 325866240. Its totient is φ = 24129280.

The previous prime is 103107157. The next prime is 103107181. The reversal of 103107180 is 81701301.

103107180 = 11612 + 11622 + ... + 12322.

It is not an unprimeable number, because it can be changed into a prime (103107181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16447 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (3394440).

Almost surely, 2103107180 is an apocalyptic number.

103107180 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 103107180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162933120).

103107180 is an abundant number, since it is smaller than the sum of its proper divisors (222759060).

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

103107180 is a wasteful number, since it uses less digits than its factorization.

103107180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 103107180 is about 10154.1705717405. The cubic root of 103107180 is about 468.9173510904.

Adding to 103107180 its reverse (81701301), we get a palindrome (184808481).

The spelling of 103107180 in words is "one hundred three million, one hundred seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 5387 6380 9570 10774 16161 19140 21548 26935 32322 53870 59257 64644 80805 107740 118514 156223 161610 177771 237028 296285 312446 323220 355542 468669 592570 624892 711084 781115 888855 937338 1185140 1562230 1718453 1777710 1874676 2343345 3124460 3436906 3555420 4686690 5155359 6873812 8592265 9373380 10310718 17184530 20621436 25776795 34369060 51553590 103107180